[1] IA. Bakhtin, The contraction mapping in almost metric spaces, Funct. Ana. Gos. Ped. Inst. Unianowsk, 30, 26–37, Ulyanovsk. Gos. Ped. Inst., Ulyanovsk, 1989.
[2] I. Beg, An iteration scheme for asymptotically nonexpansive mappings on uniformly convex metric spaces, Nonlinear Anal. Forum 6 (2001), no. 1, 27–34.
[3] V. Berinde, M. Pacurar, Existence and approximation of fixed points of enriched contractions and enriched ϕ- contractions, Symmetry (2021) 498.
[4] A. T. Bharucha-Raid and V. M. Sehgal, Fixed points of contraction mappings on probabilistic metric spaces, Math. Systems Theory 6 (1972) 97–102.
[5] A. Branciari, A fixed point theorem of Banach-Caccioppoli type on a class of generalized metric spaces, Publ. Math. Debrecen 57 (2000), no. 1-2, 31–37.
[6] T. A. Burton, Integral equations, implicit relations and fixed points. Proc. Am. Math. Soc. 124 (1996), no. 8, 2383–2390.
[7] R. Chaharpashlou and R. Saadati, Best approximation of a nonlinear fractional Volterra integro-differential equation in matrix MB-space, Adv. Difference Equ. 2021, Paper no. 118, 12 pages.
[8] R. Chaharpashlou, D. O’Regan and C. Park, R. Saadati, C ∗-algebra valued fuzzy normed spaces with application of Hyers-Ulam stability of a random integral equation, Adv. Difference Equ. 2020, Paper no. 326, 9 pages.
[9] R. Chaharpashlou, R. Saadati, A. Atangana, Ulam-Hyers-Rassias stability for nonlinear Ψ-Hilfer stochastic fractional differential equation with uncertainty, Adv. Difference Equ. 2020, Paper no. 339, 10 pages.
[10] L. L. Chen, C. B. Li, R. Kaczmarek and Y. F. Zhao, Several fixed point theorems in convex b-metric spaces and applications, Mathematics 2020, 242.
[11] Lj. Ćirić, D. Mihet and R. Saadati, Monotone generalized contractions in partially ordered probabilistic metric spaces, Topology Appl. 156 (2009), no. 17, 2838–2844.
[12] Lj. Ćirić, Solving the Banach fixed point principle for nonlinear contractions in probabilistic metric spaces, Nonlinear Anal. 72 (2010), no. 3-4, 2009–2018.
[13] S. Czerwik, Contraction mappings in b-metric spaces, Acta Math. Inform. Univ. Ostraviensis 1 (1993) 5–11.
[14] X. P. Ding, Iteration processes for nonlinear mappings in convex metric spaces. J. Math. Anal. Appl. 132 (1988) 114–122.
[15] M. Frechet, Sur quelques points du calcul fonctionnel, Rendiconti del Circolo Matematico di Palermo (1884-1940), 221 (1906), no. 1, 1–72.
[16] H. Fukhar-ud-din and V. Berinde, Iterative methods for the class of quasi-contractive type operators and comparison of their rate of convergence in convex metric spaces, Filomat 30 (2016), no. 1, 223–230.
[17] R. George, S. Radenovic, KP. Reshma and S. Shukla, Rectangular b-metric space and contraction principles, J. Nonlinear Sci. Appl. 8 (2015), no. 6, 1005–1013.
[18] D. Gopal, M. Abbas and C. Vetro, Some new fixed point theorems in Menger PM-spaces with application to Volterra type integral equation, Appl. Math. Comput. 232 (2014) 955–967.
[19] O. Hadzic, E. Pap, fixed point theory in probabilistic metric spaces, 536, 2001.
20] F. Hasanvand and M. Khanehgir, Some fixed point theorems in Menger PbM-spaces with an application, Fixed Point Theory Appl. 2015, 2015:81, 18 pages.
[21] J. Jachymski, On probabilistic ϕ-contractions on Menger spaces, Nonlinear Anal. 73 (2010), no. 7, 2199–2203.
[22] W. Kirk and N. Shahzad, Fixed point theory in distance spaces. Springer, Cham, 2014. xii+173 pp. ISBN: 978-3-319-10926-8; 978-3-319-10927-5.
[23] P. Lo’lo’, S. M. Vaezpour and J. Esmaily, Common best proximity points theorem for four mappings in metric-type spaces. Fixed Point Theory Appl. 2015 (2015) 47, 7 pages.
[24] P. Lo’lo’, M. Shams and M. De la Sen, Existence of a solution for a nonlinear integral equation by nonlinear contractions involving simulation function in partially ordered metric space, Nonlinear Anal. Model. Control 28 (2023), no. 3, 578–596.
[25] P. Lo’lo’, M. Shams, S. Radenovic, A simulation function approach for optimization by approximate solutions with an application to fractional differential equation, Nonlinear Anal. Model. Control 29 (2024), no. 3, 543–561.
[26] E. Lotfali Ghasab, H. Majani and G. Soleimani Rad, Integral type contraction and coupled fixed point theorems in ordered G-metric spaces, J. Linear Topol. Algebra 9, 02, 113–120, 2020.
[27] E. Lotfali Ghasab, H. Majani, E. Karapinar and G. Soleimani Rad, New fixed point results in-quasi-metric spaces and an application, Adv. Math. Phys. 2020, Art. ID 9452350, 6 pages.
[28] E. Lotfali Ghasab, H. Majani, M. De la Sen and G. Soleimani Rad, e-Distance in Menger PGM Spaces with an Application, Axioms, 10, 3, 2020.
[29] E. Lotfali Ghasab, H. Majani and G. Soleimani Rad, Fixed points of set-valued F-contraction operators in quasiordered metric spaces with an application to integral equations, Zh. Sib. Fed. Univ. Mat. Fiz. 14 (2021), no. 2, 150–158.
[30] D. Mihet, Multivalued generalisations of probabilistic contractions, J. Math. Anal. Appl. 304 (2005) 464–472.
[31] K. Menger, Statistical Metrics, Proc. Natl. Acad. Sci. USA, 28 (1942), 535–537.
[32] K. Menger, Statistical metrics, Statistical metrics. Proc. Nat. Acad. Sci. U.S.A. 28 (1942) 535–537.
[33] Z. Mostefaoui, M. Bousselsal and J. Kim, Some results in fixed point theory concerning rectangular b-metric spaces, Nonlinear Functional Analysis and Applications, 24,1, 49–59, 2019.
[34] H. Rahimi and G. Soleimani Rad, Fixed point Theory in Various Spaces: Comparison Between Various Contractions, 2013.
[35] M. Rossafi and H. Massit, Some fixed point theorems for generalized Kannan type mappings in rectangular b-metric spaces, Nonlinear Funct. Anal. Appl. 27 (2022) 663–677.
[36] Z. Sadeghi and S. M. Vaezpour, Fixed point theorems for multivalued and single-valued contractive mappings on Menger PM spaces with applications, J. Fixed Point Theory Appl. 20 (2018), no. 3, Paper No. 114, 27 pages.
[37] B. Schweizer, A. Sklar, Probabilistic metric spaces, North-Holland Series in Probability and Applied Mathematics. North-Holland Publishing Co., New York, 1983.
[38] T. Stephen, Y. Rohen, M. Singh and K. Devi, Some rational F-contractions in b-metric spaces and fixed points, Nonlinear Funct. Anal. Appl. 27 (2022) 309–322.
[39] W. Takahashi, A convexity in metric spaces and nonexpansive mappings, Kodai Math. Semin. Rep. 22 (1970) 142–149.
