A common fixed point result for multi-valued mappings in Hausdorff modular fuzzy b-metric spaces with application to integral inclusions

References

[1] I. A. Bakhtin, The contraction mapping principle in almost metric space, Funct. Anal. Gos. Ped. Inst. Unianowsk 30 (1989), 26–37. Search in Google Scholar

[2] M. Boriceanu, A. Petruşel and I. A. Rus, Fixed point theorems for some multivalued generalized contractions in b-metric spaces, Int. J. Math. Stat. 6 (2010), no. S10, 65–76. Search in Google Scholar

[3] M. Bota, A. Molnár and C. Varga, On Ekeland’s variational principle in b-metric spaces, Fixed Point Theory 12 (2011), no. 1, 21–28. Search in Google Scholar

[4] V. V. Chistyakov, Modular metric spaces generated by F-modulars, Folia Math. 15 (2008), no. 1, 3–24. Search in Google Scholar

[5] S. Czerwik, Contraction mappings in b-metric spaces, Acta Math. Inform. Univ. Ostraviensis 1 (1993), 5–11. Search in Google Scholar

[6] S. Czerwik, Nonlinear set-valued contraction mappings in b-metric spaces, Atti Sem. Mat. Fis. Univ. Modena 46 (1998), no. 2, 263–276. Search in Google Scholar

[7] M. Dahhouch, N. Makran and B. Marzouki, A common fixed point of multivalued maps in extended b-metric space with application Volterra-type integral inclusion, Politehn. Univ. Bucharest Sci. Bull. Ser. A Appl. Math. Phys. 84 (2022), no. 4, 139–148. Search in Google Scholar

[8] T. Došenović, A. Javaheri, S. Sedghi and N. Shobe, Coupled fixed point theorem in b-fuzzy metric spaces, Novi Sad J. Math. 47 (2017), no. 1, 77–88. 10.30755/NSJOM.04361Search in Google Scholar

[9] M. E. Ege and C. Alaca, Some results for modular b-metric spaces and an application to system of linear equations, Azerb. J. Math. 8 (2018), no. 1, 3–14. Search in Google Scholar

[10] A. George and P. Veeramani, On some results in fuzzy metric spaces, Fuzzy Sets and Systems 64 (1994), no. 3, 395–399. 10.1016/0165-0114(94)90162-7Search in Google Scholar

[11] A. George and P. Veeramani, On some results of analysis for fuzzy metric spaces, Fuzzy Sets and Systems 90 (1997), no. 3, 365–368. 10.1016/S0165-0114(96)00207-2Search in Google Scholar

[12] Z. Hassanzadeh and S. Sedghi, Relation between b-metric and fuzzy metric spaces, Math. Morav. 22 (2018), no. 1, 55–63. 10.5937/MatMor1801055HSearch in Google Scholar

[13] S. Heilpern, Fuzzy mappings and fixed point theorem, J. Math. Anal. Appl. 83 (1981), no. 2, 566–569. 10.1016/0022-247X(81)90141-4Search in Google Scholar

[14] H. Kerim, W. Shatanawi, A. Tallafha and T. A. M. Shatnawi, Fixed point theorems on modular fuzzy metric spaces, Politehn. Univ. Bucharest Sci. Bull. Ser. A Appl. Math. Phys. 84 (2022), no. 1, 47–58. Search in Google Scholar

[15] I. Kramosil and J. Michálek, Fuzzy metrics and statistical metric spaces, Kybernetika 11 (1975), no. 5, 336–344. Search in Google Scholar

[16] N. Makran, A. El Haddouchi and B. Marzouki, A common fixed point of multi-valued maps in b-metric space, Politehn. Univ. Bucharest Sci. Bull. Ser. A Appl. Math. Phys. 82 (2020), no. 1, 197–206. Search in Google Scholar

[17] N. Makran, A. El Haddouchi and B. Marzouki, A generalized common fixed points for multivalued mappings in G b -metric spaces with an application, Politehn. Univ. Bucharest Sci. Bull. Ser. A Appl. Math. Phys. 83 (2021), no. 1, 157–168. Search in Google Scholar

[18] N. Makran, A. El Haddouchi and B. Marzouki, A generalized common fixed point of multi-valued maps in b-metric space, Bol. Soc. Parana. Mat. (3) 41 (2023), 9. 10.5269/bspm.51655Search in Google Scholar

[19] L. Maligranda, Orlicz Spaces and Interpolation, Semin. Math. 5, Universidade Estadual de Campinas, Campinas, 1989. Search in Google Scholar

[20] B. Marzouki, N. Makran and A. El Haddouchi, A generalized common fixed point theorem in complex valued b-metric spaces, Bol. Soc. Parana. Mat. (3) 40 (2022), 1–9. 10.5269/bspm.51616Search in Google Scholar

[21] J. Musielak and W. Orlicz, On modular spaces, Studia Math. 18 (1959), 49–65. 10.4064/sm-18-1-49-65Search in Google Scholar

[22] J. Musielak and W. Orlicz, Some remarks on modular spaces, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astr. Phys. 7 (1959), 661–668. Search in Google Scholar

[23] H. Nakano, Modulared Semi-Ordered Linear Spaces, Maruzen, Tokyo, 1950. Search in Google Scholar

[24] D. Rakić, A. Mukheimer, T. Došenović, Z. D. Mitrović and S. Radenović, On some new fixed point results in fuzzy b-metric spaces, J. Inequal. Appl. 2020 (2020), Paper No. 99. 10.1186/s13660-020-02371-3Search in Google Scholar

[25] S. Sedghi, M. S. Khan, N. Shobe and S. Sedghi, Common fixed point theorems in fuzzy metric spaces, Nonlinear Funct. Anal. Appl. 14 (2009), no. 3, 349–355. 10.1155/2009/546273Search in Google Scholar

[26] S. Sedghi and N. Shobe, Common fixed point theorem for R-weakly commuting maps in b-fuzzy metric space, Nonlinear Funct. Anal. Appl. 19 (2014), no. 2, 285–295. Search in Google Scholar

[27] L. A. Zadeh, Fuzzy sets, Inform. and Control 8 (1965), 338–353. 10.1016/S0019-9958(65)90241-XSearch in Google Scholar