Certain Fixed Point Results via Contraction Mappings in Neutrosophic Semi-Metric Spaces

Authors

  • Tayyab Kamran Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan https://orcid.org/0000-0001-7833-2476
  • Umar Ishtiaq Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan
  • Khaleel Ahmad Department of Mathematics, University of Management and Technology, Lahore 54770, Pakistan
  • Ghulam Murtaza Department of Mathematics, University of Management and Technology, Lahore 54770, Pakistan
  • Ioannis Argyros Department of Computing and Mathematical Sciences, Cameron University, Lawton, OK 73505, USA https://orcid.org/0000-0002-9189-9298

DOI:

https://doi.org/10.15377/2409-5761.2024.11.3

Keywords:

Algorithms, mathematical operators, Common fixed point (FP), Neutrosophic metric space, Occasionally weak compatibility

Abstract

In this work, the authors introduce the concept of neutrosophic semi-metric spaces and prove several common fixed-point theorems for countable and uncountable family of mappings via an implicit relation of contractive and integral type by utilizing locally integrable functions. These results improve and generalize the several results in the existing literature. Further, the authors present some non-trivial examples to support our main results.

Mathematics Subject Classification: 46S40, 47H10, 54H25.

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References

Zade LA. Fuzzy sets. Inform Control. 1965; 8(3): 338-53. https://doi.org/10.1016/S0019-9958(65)90241-X DOI: https://doi.org/10.1016/S0019-9958(65)90241-X

Kramosil I, Michálek J. Fuzzy metrics and statistical metric spaces. Kybernetika. 1975; 11(5): 336-44.

George A, Veeramani P. On some result in fuzzy metric space. Fuzzy Sets Syst. 1994; 64: 395-9. https://doi.org/10.1016/0165-0114(94)90162-7 DOI: https://doi.org/10.1016/0165-0114(94)90162-7

Grabiec M. Fixed points in fuzzy metric spaces. Fuzzy Sets Syst. 1988; 27(3): 385-9. https://doi.org/10.1016/0165-0114(88)90064-4 DOI: https://doi.org/10.1016/0165-0114(88)90064-4

Hu XQ. Common coupled fixed point theorems for contractive mappings in fuzzy metric spaces. Fixed Point Theory Appl. 2011; 2011: 1-14. https://doi.org/10.1155/2011/363716 DOI: https://doi.org/10.1155/2011/363716

Deng Z. Fuzzy pseudo-metric spaces. J Math Analy Appl. 1982; 86(1): 74-95. https://doi.org/10.1016/0022-247X(82)90255-4 DOI: https://doi.org/10.1016/0022-247X(82)90255-4

Cho YJ, Sedghi S, Shobe N. Generalized fixed point theorems for compatible mappings with some types in fuzzy metric spaces. Chaos Solitons Fractals. 2009; 39(5): 2233-44. https://doi.org/10.1016/j.chaos.2007.06.108 DOI: https://doi.org/10.1016/j.chaos.2007.06.108

Javed K, Uddin F, Ishtiaq U, Park C, Arshad M. On ordered theoretic controlled fuzzy metric spaces. Int J Nonlinear Analy Appl. 2023; 14(4): 1-14. https://doi.org/0.22075/IJNAA.2023.28472.3902

Atanassov KT. Intuitionistic Fuzzy Sets. In: Atanassov KT, Ed., Intuitionistic Fuzzy Sets. Studies in Fuzziness and Soft Computing, vol 35. Heidelberg: Physica; 1999. https://doi.org/10.1007/978-3-7908-1870-3_1 DOI: https://doi.org/10.1007/978-3-7908-1870-3

Park JH. Intuitionistic fuzzy metric spaces. Chaos Solitons Fractals. 2004; 22(5): 1039-46. https://doi.org/10.1016/j.chaos.2004.02.051 DOI: https://doi.org/10.1016/j.chaos.2004.02.051

Alaca C, Turkoglu D, Yildiz C. Fixed points in intuitionistic fuzzy metric spaces. Chaos Solitons Fractals. 2006; 29(5): 1073-8. https://doi.org/10.1016/j.chaos.2005.08.066 DOI: https://doi.org/10.1016/j.chaos.2005.08.066

Sharma V, Joshi MC, Kumar S. Fixed point theorems for contractive and weakly compatible mapping in complete intuitionistic fuzzy metric space. J Anal. 2021; 29: 1375-90. https://doi.org/10.1007/s41478-021-00317-6 DOI: https://doi.org/10.1007/s41478-021-00317-6

Davvaz B, Jan N, Mahmood T, Ullah K. Intuitionistic fuzzy graphs of nth type with applications. J Intell Fuzzy Syst. 2019; 36(4): 3923-32. https://doi.org/10.3233/JIFS-181123 DOI: https://doi.org/10.3233/JIFS-181123

Kumar S, Vats RK, Singh V, Garg SK. some common fixed point theorems in intuitionistic fuzzy metric spaces. Int J Math Anal. 2010; 4(26): 1255-70. DOI: https://doi.org/10.51286/albjm/1288518047

Saadati R, Park JH. On the intuitionistic fuzzy topological spaces. Chaos Solitons Fractals. 2005: 27(2): 331-44. https://doi.org/10.1016/j.chaos.2005.03.019 DOI: https://doi.org/10.1016/j.chaos.2005.03.019

Wilson WA. On quasi-metric spaces. Am J Math. 1931; 53(3): 675-84. https://doi.org/10.2307/2371174 DOI: https://doi.org/10.2307/2371174

Smarandache F. Neutrosophic sets, a generalization of the intuitionistic fuzzy sets. Int J Pure Appl Math. 2005; 24: 287-97.

Kirişci M, Şimşek N. Neutrosophic metric spaces. Math Sci. 2020; 14: 241-8. https://doi.org/10.1007/s40096-020-00335-8 DOI: https://doi.org/10.1007/s40096-020-00335-8

Aanchal GV. Fixed Point Theorems in Neutrosophic Soft Metric Space. In: Sahni M, Merigó JM, Hussain W, León-Castro E, Verma RK, Sahni R. Eds. Mathematical Modeling, Computational Intelligence Techniques and Renewable Energy. Advances in Intelligent Systems and Computing, vol. 1440. Singapore: Springer; 2023. https://doi.org/10.1007/978-981-19-9906-2_3 DOI: https://doi.org/10.1007/978-981-19-9906-2_3

Ishtiaq U, Javed K, Uddin F, Sen MDL, Ahmed K, Ali, MU. Fixed point results in orthogonal neutrosophic metric spaces. Complexity. 2021; 1-18. https://doi.org/10.1155/2021/2809657 DOI: https://doi.org/10.1155/2021/2809657

Rajan SS, Jeyaraman M, Smarandache F. Fixed point results for contraction theorems in neutrosophic metric spaces. Neutrosophic Sets Syst. 2020; 36: 309-18. https://doi.org/10.5281/zenodo.4065458

Uddin F, Ishtiaq U, Saleem N, Ahmad K, Jarad F. Fixed point theorems for controlled neutrosophic metric-like spaces. AIMS Math. 2022; 7(12): 20711-39. https://doi.org/10.3934/math.20221135

Ali U, Alyousef HA, Ishtiaq U, Ahmed K, Ali S. Solving nonlinear fractional differential equations for contractive and weakly compatible mappings in neutrosophic metric spaces. J Funct Spaces. 2023; Article ID 9868214. https://doi.org/10.1155/2023/9868214 DOI: https://doi.org/10.1155/2023/9868214

Aliouche A. A common fixed-point theorem for weakly compatible mappings in symmetric spaces satisfying a contractive condition of integral type. J Math Analy Appl. 2006; 322(2): 796-802. https://doi.org/10.1016/j.jmaa.2005.09.068 DOI: https://doi.org/10.1016/j.jmaa.2005.09.068

Merghadi F, Godet-Thobie C. Common fixed point theorems under contractive conditions of integral type in symmetric spaces. Demonstr Math. 2013; 46(4): 757-80. https://doi.org/10.1515/dema-2013-0489

Sastry KPR, Murthy IK. Common fixed points of two partially commuting tangential selfmaps on a metric space. J Math Analy Appl. 2000; 250(2): 731-4. https://doi.org/10.1006/jmaa.2000.7082 DOI: https://doi.org/10.1006/jmaa.2000.7082

Aamri M, El Moutawakil D. Some new common fixed point theorems under strict contractive conditions. J Math Analy Appl 2002; 270(1): 181-8. https://doi.org/10.1016/S0022-247X(02)00059-8 DOI: https://doi.org/10.1016/S0022-247X(02)00059-8

Al-Thagafi MA, Shahzad N. Generalized I-nonexpansive selfmaps and invariant approximations. Acta Math Sin. 2008; 24: 867-76. https://doi.org/10.1007/s10114-007-5598-x DOI: https://doi.org/10.1007/s10114-007-5598-x

Pathak HK, Tiwari R, Khan MS. A common fixed-point theorem satisfying integral type implicit relations. Appl Math E-Notes. 2007; 7: 222-8.

Djoudi A, Aliouche A. Common fixed-point theorems of Gregus type for weakly compatible mappings satisfying contractive conditions of integral type. J Math Analy Appl. 2007; 329(1): 31-45. https://doi.org/10.1016/j.jmaa.2006.06.037 DOI: https://doi.org/10.1016/j.jmaa.2006.06.037

Aliouche A, Popa V. Common fixed point theorems for occasionally weakly compatible mappings via implicit relations. Filomat. 2008; 22(2): 99-107. DOI: https://doi.org/10.2298/FIL0802099A

Godet-Thobie C, Merghadi F. Common fixed point theorems under contractive condition of integral type in intuitionistic fuzzy semi-metric spaces. Demonstratio Mathematica. 2013; 46(4): 757-80. https://doi.org/10.1515/dema-2013-0489 DOI: https://doi.org/10.1515/dema-2013-0489

Saleem N, Ishtiaq U, Guran L, Bota MF. On graphical fuzzy metric spaces with application to fractional differential equations. Fractal Fract. 2022; 6(5): 238. https://doi.org/10.3390/fractalfract6050238 DOI: https://doi.org/10.3390/fractalfract6050238

Saleem N, Ahmad K, Ishtiaq U, De la Sen M. Multivalued neutrosophic fractals and Hutchinson-Barnsley operator in neutrosophic metric space. Chaos Solitons Fractals. 2023; 172: 113607. https://doi.org/10.1016/j.chaos.2023.113607 DOI: https://doi.org/10.1016/j.chaos.2023.113607

Saeed M, Saeed MH, Shafaqat R, Sessa S, Ishtiaq U, Di Martino F. A theoretical development of cubic pythagorean fuzzy soft set with its application in multi-attribute decision making. Symmetry. 2022; 14(12): 2639. https://doi.org/10.3390/sym14122639. DOI: https://doi.org/10.3390/sym14122639

Farhan M, Ishtiaq U, Saeed M, Hussain A, Al Sulami, H. Reich-type and (α, f)-contractions in partially ordered double-controlled metric-type spaces with applications to non-linear fractional differential equations and monotonic iterative method. Axioms. 2022; 11(10): 573. https://doi.org/10.3390/axioms11100573 DOI: https://doi.org/10.3390/axioms11100573

Uddin F, Ishtiaq U, Javed K, Aiadi SS, Arshad M, Souayah N, Mlaiki N. A new extension to the intuitionistic fuzzy metric-like spaces. Symmetry. 2022; 14(7): 1400. https://doi.org/10.3390/sym14071400 DOI: https://doi.org/10.3390/sym14071400

Bulut H, Khalid BJ. Optical soliton solutions of fokas-lenells equation via (m+ 1/g')-expansion method. J Adv Appl Comput Math. 2020; 7: 20-4. https://doi.org/10.15377/2409-5761.2020.07.3 DOI: https://doi.org/10.15377/2409-5761.2020.07.3

Li S, Yin H. A four step scheme approach to the forward-backward stochastic navier-stokes equations. J Adv Appl Comput Math. 2021; 8: 129-43. https://doi.org/10.15377/2409-5761.2021.08.10 DOI: https://doi.org/10.15377/2409-5761.2021.08.10

Uddin F, Din M, Ishtiaq U, Sessa S. Perov fixed-point results on F-contraction mappings equipped with binary relation. Mathematics. 2023; 11(1): 238. https://doi.org/10.3390/math11010238 DOI: https://doi.org/10.3390/math11010238

Ishtiaq U, Hussain A, Al Sulami H. Certain new aspects in fuzzy fixed point theory. AIMS Mathematics, 7(5), pp.8558-8573. 202; 7(5): 8558-73. https://doi.org/10.3934/math.2022477 DOI: https://doi.org/10.3934/math.2022477

Ishtiaq U, Asif M, Hussain A, Ahmad K, Saleem I, Al Sulami H. Extension of a unique solution in generalized neutrosophic cone metric spaces. Symmetry. 2023; 15(1): 94. https://doi.org/10.3390/sym15010094 DOI: https://doi.org/10.3390/sym15010094

Uddin F, Ishtiaq U, Saleem N, Ahmad K, Jarad F. Fixed point theorems for controlled neutrosophic metric-like spaces. AIMS Math. 2022; 7: 20711-39. https://doi.org/10.3934/math.20221135 DOI: https://doi.org/10.3934/math.20221135

Younis M, Singh D, Goyal A. A novel approach of graphical rectangular b-metric spaces with an application to the vibrations of a vertical heavy hanging cable. J Fixed Point Theory Appl. 2019; 21: 1-17. https://doi.org/10.1007/s11784-019-0673-3 DOI: https://doi.org/10.1007/s11784-019-0673-3

Younis M, Singh D, Radenović S, Imdad M. Convergence theorems for generalized contractions and applications. Filomat. 2020; 34(3): 945-64. https://doi.org/10.2298/FIL2003945Y DOI: https://doi.org/10.2298/FIL2003945Y

Younis M, Singh D, Asadi M, Joshi V. Results on contractions of Reich type in graphical b-metric spaces with applications. Filomat. 2019; 33(17): 5723-35. https://doi.org/10.2298/FIL1917723Y DOI: https://doi.org/10.2298/FIL1917723Y

Younis M, Singh D, Altun I, Chauhan V. Graphical structure of extended b-metric spaces: an application to the transverse oscillations of a homogeneous bar. Int J Nonlinear Sci Numer Simul. 2020; 23(7-8): 1239-52. https://doi.org/10.1515/ijnsns-2020-0126 DOI: https://doi.org/10.1515/ijnsns-2020-0126

Younis M, Singh D, Abdou A.A. A fixed point approach for tuning circuit problem in dislocated b‐metric spaces. Math Methods Appl Sci. 2020; 45(4): 2234-53. https://doi.org/10.1002/mma.7922 DOI: https://doi.org/10.1002/mma.7922

Younis M, Sing D. On the existence of the solution of Hammerstein integral equations and fractional differential equations. J Appl Math Comput. 2022; 68: 1087-1105. https://doi.org/10.1007/s12190-021-01558-1 DOI: https://doi.org/10.1007/s12190-021-01558-1

Younis M, Singh D, Petruşel A. Applications of graph kannan mappings to the damped spring‐mass system and deformation of an elastic beam. Discrete Dyn Nature Soc. 2019; (1): 1315387. https://doi.org/10.1155/2019/1315387 DOI: https://doi.org/10.1155/2019/1315387

Younis M, Singh D, Gopal D, Goyal A, Rathore MS. On applications of generalized F-contraction to differential equations. Nonlinear Funct Analy Appl. 2019; 24(01): 155-74.

Younis M, Ahmad H, Chen L, Han M. Computation and convergence of fixed points in graphical spaces with an application to elastic beam deformations. J Geom Phys 2023; 192: 104955. https://doi.org/10.1016/j.geomphys.2023.104955 DOI: https://doi.org/10.1016/j.geomphys.2023.104955

Younis M, Singh D, Chen L, Metwali M. A study on the solutions of notable engineering models. Math Model Analy. 2022; 27(3): 492-509. https://doi.org/10.3846/mma.2022.15276 DOI: https://doi.org/10.3846/mma.2022.15276

Younis M, Singh D, Shi L. Revisiting graphical rectangular b-metric spaces. Asian Eur J Math. 2022; 15(04): 2250072. https://doi.org/10.1142/S1793557122500723 DOI: https://doi.org/10.1142/S1793557122500723

Karapınar E, Shatanawi W, Mustafa Z. Quadruple fixed point theorems under nonlinear contractive conditions in partially ordered metric spaces. J Appl Math. 2012; (1): 951912. https://doi.org/10.1155/2012/951912 DOI: https://doi.org/10.1155/2012/951912

Abdeljawad T, Karapınar E, Taş K. Existence and uniqueness of a common fixed point on partial metric spaces. Appl Math Lett. 2011; 24(11): 1900-4. https://doi.org/10.1016/j.aml.2011.05.014 DOI: https://doi.org/10.1016/j.aml.2011.05.014

Hussain N, Karapınar E, Salimi P, Vetro P. Fixed point results for G m-Meir-Keeler contractive and G-(α, ψ)-Meir-Keeler contractive mappings. Fixed Point Theory Appl. 2013; 34: 1-14. https://doi.org/10.1186/1687-1812-2013-34 DOI: https://doi.org/10.1186/1687-1812-2013-34

Karapınar E, Erhan IM. Fixed point theorems for operators on partial metric spaces. Appl Math Lett. 2011; 24(11): 1894-9. https://doi.org/10.1016/j.aml.2011.05.013 DOI: https://doi.org/10.1016/j.aml.2011.05.013

Karapınar E, Cvetković M. An inevitable note on bipolar metric spaces. AIMS Math. 2024; 9(2): 3320-31. https://doi.org/10.3934/math.2024162 DOI: https://doi.org/10.3934/math.2024162

Karapınar E, Fulga, A. A fixed point theorem for Proinov mappings with a contractive iterate. Appl Math J Chin Univ. 2023; 38: 403-12. https://doi.org/10.1007/s11766-023-4258-y DOI: https://doi.org/10.1007/s11766-023-4258-y

Karapinar E, Cvetkovic M. Remarks On Some Generalizations of θ-Contraction. UPB Sci Bull Series A, 2023; 85(2): 31-42.

Karapınar E, Fulga A. Discussions on proinov‐C b‐contraction mapping on b‐metric space. J Funct Spaces. 2023; (1): 1411808. https://doi.org/10.1155/2023/1411808 DOI: https://doi.org/10.1155/2023/1411808

Cvetković M, Karapinar E, Rakočević V, Yeşilkaya SS. Perov-type results for multivalued mappings. In: Pardalos PM, Rassias TM, Eds., Analysis geometry, nonlinear optimization and applications, World Scientific; 2023, pp. 215-253. https://doi.org/10.1142/9789811261572_0008 DOI: https://doi.org/10.1142/9789811261572_0008

Arshad M, Fahimuddin, Shoaib A, Hussain A. Fixed point results for α-ψ-locally graphic contraction in dislocated qusai metric spaces. Math Sci. 2014; 8: 79-85. https://doi.org/10.1007/s40096-014-0132-7 DOI: https://doi.org/10.1007/s40096-014-0132-7

Ali A, Uddin F, Arshad M, Rashid M. Hybrid fixed point results via generalized dynamic process for F-HRS type contractions with application. Physica A: Stat Mech Appl. 2020; 538: 122669. https://doi.org/10.1016/j.physa.2019.122669 DOI: https://doi.org/10.1016/j.physa.2019.122669

Mehmood M, Aydi H, Ali MU, Fahimuddin, Shoaib A, De La Sen M. Solutions of integral equations via fixed‐point results on orthogonal gauge structure. Math Probl Eng. 2021; (1): 8387262. https://doi.org/10.1155/2021/8387262 DOI: https://doi.org/10.1155/2021/8387262

Almalki Y, Din FU, Din M, Ali MU, Jan N. Perov-fixed point theorems on a metric space equipped with ordered theoretic relation. Aims Math. 2022; 11: 20199-212. https://doi.org/10.3934/math.20221105 DOI: https://doi.org/10.3934/math.20221105

Ali MU, Din FU. Discussion on α-contractions and related fixed point theorems in Hausdorff b-Gauge Spaces. Jordan J Math Stat. 2017; 10(3): 247-63.

Ali A, Alansari M, Uddin F, Arshad M, Asif A, Basendwah GA. Set‐valued SU‐type fixed point theorems via gauge function with applications. J Math. 2021; (1): 6612448. https://doi.org/10.1155/2021/6612448 DOI: https://doi.org/10.1155/2021/6612448

Rasham T, Kutbi MA, Hussain A, Chandok S. Fuzzy dominated nonlinear operators with applications. J Intell Fuzzy Syst. 2024; In press, 1-15. https://doi.org/10.3233/JIFS-238250 DOI: https://doi.org/10.3233/JIFS-238250

Rasham T. Separate families of fuzzy dominated nonlinear operators with applications. J Appl Math Comput. 2024; 1-26. https://doi.org/10.1007/s12190-024-02133-0 DOI: https://doi.org/10.1007/s12190-024-02133-0

Rasham T, Qadir R, Hasan F, Agarwal RP, Shatanawi W. Novel results for separate families of fuzzy-dominated mappings satisfying advanced locally contractions in b-multiplicative metric spaces with applications. J Inequal Appl. 2024; 57: 1-19. https://doi.org/10.1186/s13660-024-03115-3 DOI: https://doi.org/10.1186/s13660-024-03115-3

Rasham T, Mustafa A, Mukheimer A, Nazam M, Shatanawi, W. Novel results for two families of multivalued dominated mappings satisfying generalized nonlinear contractive inequalities and applications. Demonstratio Math. 2024; 57(1): 20230161. https://doi.org/10.1515/dema-2023-0161 DOI: https://doi.org/10.1515/dema-2023-0161

Rasham T, Nazam M, Agarwal P, Hussain A, Al Sulmi HH. Existence results for the families of multi-mappings with applications to integral and functional equations. J Inequal Appl. 2023; 82: 1-15. https://doi.org/10.1186/s13660-023-02991-5 DOI: https://doi.org/10.1186/s13660-023-02991-5

Rasham T, Shabbir MS, Nazam M, Musatafa A, Park C. Orbital b-metric spaces and related fixed point results on advanced Nashine–Wardowski–Feng–Liu type contractions with applications. J Inequal Appl. 2023: 69: 1-16. https://doi.org/10.1186/s13660-023-02968-4 DOI: https://doi.org/10.1186/s13660-023-02968-4

Rasham T, Noor N, Safeer M, Agarwal RP, Aydi H, De La Sen M. On dominated multivalued operators involving nonlinear contractions and applications. AIMS Math. 2024; 9(1): 1-21. https://doi.org/10.3934/math.2024001 DOI: https://doi.org/10.3934/math.2024001

Rasham T, Saeed F, Agarwal RP, Hussain A, Felhi A. Symmetrical hybrid coupled fuzzy fixed-point results on closed ball in fuzzy metric space with applications. Symmetry. 2023; 15(1): 30. https://doi.org/10.3390/sym15010030 DOI: https://doi.org/10.3390/sym15010030

Shoaib A, Mir U. Interpolative multivalued α∗-dominated contractive functions in dislocated b-metric spaces and some fixed point results. Math Sci. 2024; 18: 9-16. https://doi.org/10.1007/s40096-022-00480-2 DOI: https://doi.org/10.1007/s40096-022-00480-2

Ahmad J, Shoaib A, Ayoob I, Mlaiki N. Common fixed points for (κGm)-contractions with applications. AIMS Math. 2024; 9(6): 15949-65. https://doi.org/10.3934/math.2024772 DOI: https://doi.org/10.3934/math.2024772

Mehmood M, Shoaib A, Mlaiki N. Fixed point results on triple controlled quasi rectangular metric like spaces. AIMS Math. 2023; 8(5): 10049-66. https://doi.org/10.3934/math.2023509 DOI: https://doi.org/10.3934/math.2023509

Shoaib A, Khaliq K. Fixed-point results for generalized contraction in K-sequentially complete ordered dislocated fuzzy quasimetric spaces. Fixed Point Theory Algorithms Sci Eng. 2022; 27: 1-22. https://doi.org/10.1186/s13663-022-00737-4 DOI: https://doi.org/10.1186/s13663-022-00737-4

Shahzad A, Shoaib A, Mlaiki N, Subhi Aiadi S. Results for fuzzy mappings and stability of fuzzy sets with applications. Fractal Fract. 2022; 6(10): 556. https://doi.org/10.3390/fractalfract6100556 DOI: https://doi.org/10.3390/fractalfract6100556

Shoaib A, Hassan Z. Results for multivalued mappings for Kannan type contractions in ordered pg-metric spaces. Appl Sci. 2022; 24: 245-60.

Shoaib A, Kumam P, Sitthithakerngkiet K. Interpolative Hardy Roger’s type contraction on a closed ball in ordered dislocated metric spaces and some results. AIMS Math. 2022; 7(8): 13821-31. https://doi.org/10.3934/math.2022762 DOI: https://doi.org/10.3934/math.2022762

Achtoun Y, Radenović S, Tahiri I, Sefian ML. Exploring multivalued probabilistic ψ-contractions with orbits in b-Menger spaces. Vojnotehnički glasnik/Military Technical Courier. 2024; 72(2): 563-82. DOI: https://doi.org/10.5937/vojtehg72-49063

Zoto K, Šešum-Čavić V, Pantović M, Todorčević V, Zoto M, Radenović S. A Unified Approach and Related Fixed-Point Theorems for Suzuki Contractions. Symmetry. 2024; 16(6): 739. https://doi.org/10.3390/sym16060739 DOI: https://doi.org/10.3390/sym16060739

Achtoun Y, Radenović S, Tahiri I, Sefian ML. The nonlinear contraction in probabilistic cone b-metric spaces with application to integral equation. Nonlinear Analy: Model Control. 2024; 1-12. https://doi.org/10.15388/namc.2024.29.35180 DOI: https://doi.org/10.15388/namc.2024.29.35180

Achtoun Y, Gardasević-Filipović M, Mitrović S, Radenović S. On Prešić-Type Mappings: Survey. Symmetry, 16(4), p.415. Symmetry. 2024; 16(4): 415. https://doi.org/10.3390/sym16040415 DOI: https://doi.org/10.3390/sym16040415

Ozturk V, Radenovic S. Hemi metric spaces and Banach fixed point theorems. Appl Gen Topol. 2024; 25(1): 175-82. https://doi.org/10.4995/agt.2024.19780 DOI: https://doi.org/10.4995/agt.2024.19780

Anjum R, Abbas M, Safdar H, Din M, Zhou M, Radenović S. Application to activation functions through fixed-circle problems with symmetric contractions. Symmetry. 2024; 16(1): 69. https://doi.org/10.3390/sym16010069 DOI: https://doi.org/10.3390/sym16010069

Moussaoui A, Melliani S, Radenovic S. A nonlinear fuzzy contraction principle via control functions. Filomat. 2024; 6: 1963-72. https://doi.org/10.2298/FIL2406963M

Kadelburg Z, Radenović S. Some new observations on w-distance and F-contractions. Matematički vesnik. 2024; 76(1): 43-55. https://doi.org/10.57016/MV-UxZA2735 DOI: https://doi.org/10.57016/MV-UxZA2735

Gopal D, Sintunavarat W, Ranadive AS, Shukla S. The investigation of k-fuzzy metric spaces with the first contraction principle in such spaces. Soft Comput. 2023; 27(16): 11081-9. https://doi.org/10.1007/s00500-023-07946-y DOI: https://doi.org/10.1007/s00500-023-07946-y

Saleh HN, Imdad M, Sintunavarat W. Fixed points which belong to the set of unit values of a suitable function on fuzzy metric spaces. Appl Gen Topol. 2023; 24(1): 9-24. https://doi.org/https://doi.org/10.4995/agt.2023.16924 DOI: https://doi.org/10.4995/agt.2023.16924

Turab A, Sintunavarat W. On the solution of the generalized functional equation arising in mathematical psychology and theory of learning approached by the Banach fixed point theorem. Carpathian J Math. 2023; 39(2): 541-51. https://doi.org/10.37193/CJM.2023.02.14 DOI: https://doi.org/10.37193/CJM.2023.02.14

Nithiarayaphaks W, Sintunavarat W. On approximating fixed points of weak enriched contraction mappings via Kirk’s iterative algorithm in Banach spaces. Carpathian J Math. 2023; 39(2): 423-32. https://doi.org/10.37193/CJM.2023.02.07 DOI: https://doi.org/10.37193/CJM.2023.02.07

Rouzkard F, Imdad M. Common fixed points for hybrid pair of generalized non-expensive mappings by a three-step iterative scheme. Int J Nonlinear Analy Appl. 2024; 15(3): 91-102. https://doi.org/10.22075/IJNAA.2022.21245.3444

Arif M, Imdad M. Coincidence point results on a metric space endowed with a locally T-transitive binary relation employing comparison functions. Miskolc Math Notes. 2024; 25(1): 63-78. https://doi.org/10.18514/MMN.2024.4114 DOI: https://doi.org/10.18514/MMN.2024.4114

Arab R, Hazarika B, Imdad M, Das A. Common fixed point theorem of family of contraction maps and its applications in integral equations. Thai J Math. 2023; 21(2): 253-63.

Asim M, Kumar S, Imdad M, George R. C*-algebra valued quasi metric spaces and fixed point results with an application. Appl Gen Topol. 2022; 23(2): 287-301. https://doi.org/10.4995/agt.2022.16783 DOI: https://doi.org/10.4995/agt.2022.16783

Maheshwaran K, Hussain RJ, Khan MS, Sessa S. Common Fixed Point Theorems for Mappings Satisfying (EA)-Property on Cone Normed B-Metric Spaces. Int J Analy Appl. 2024; 22: 1-16. https://doi.org/10.28924/2291-8639-22-2024-56 DOI: https://doi.org/10.28924/2291-8639-22-2024-56

Ali MU, Sessa S, Almalki Y, Alansari M. Fundamental characteristics of the product-operated metric spaces. Axioms. 2024; 13(2): 103. https://doi.org/10.3390/axioms13020103 DOI: https://doi.org/10.3390/axioms13020103

Asem V, Singh YM, Khan MS, Sessa S. On (α, p)-cyclic contractions and related fixed point theorems. Symmetry. 2023; 15(10): 1826. https://doi.org/10.3390/sym15101826 DOI: https://doi.org/10.3390/sym15101826

Furqan S, Saleem N, Sessa S. Fuzzy n− controlled metric space. Int J Analy Appl. 2023; 21: 1-20. https://doi.org/10.28924/2291-8639-21-2023-101 DOI: https://doi.org/10.28924/2291-8639-21-2023-101

Narzary S, Das D. Singh YM, Khan MS, Sessa S. C*-algebra-valued partial modular metric spaces and some fixed point results. Symmetry. 2023; 15(6): 1135. https://doi.org/10.3390/sym15061135 DOI: https://doi.org/10.3390/sym15061135

Zhou M, Secelean NA, Saleem N, Abbas M. Best proximity points for alternative p-contractions. J Inequal Appl. 2024; 4: 1-17. https://doi.org/10.1186/s13660-024-03078-5 DOI: https://doi.org/10.1186/s13660-024-03078-5

Rashid M, Saleem N, Bibi R, George R. Some multidimensional fixed point theorems for nonlinear contractions in C-distance spaces with applications. J Inequal Appl. 2024; 13: 1-17. https://doi.org/10.1186/s13660-024-03079-4 DOI: https://doi.org/10.1186/s13660-024-03079-4

Chand D, Rohen Y, Saleem N, Aphane M, Razzaque A. S-Pata-type contraction: a new approach to fixed-point theory with an application. J Inequal Appl. 2024; 59: 1-16. https://doi.org/10.1186/s13660-024-03136-y DOI: https://doi.org/10.1186/s13660-024-03136-y

Alam KH, Rohen Y, Saleem N. Aphane M, Rzzaque A. Convergence of Fibonacci–Ishikawa iteration procedure for monotone asymptotically nonexpansive mappings. J Inequal Appl. 2024; 81: (2024). https://doi.org/10.1186/s13660-024-03156-8 DOI: https://doi.org/10.1186/s13660-024-03156-8

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2024-08-14

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Certain Fixed Point Results via Contraction Mappings in Neutrosophic Semi-Metric Spaces. (2024). Journal of Advances in Applied & Computational Mathematics, 11, 30-71. https://doi.org/10.15377/2409-5761.2024.11.3

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