Theorems on Common Fixed Point of 𝜙-Weakly Expansive Mappings in Dislocated Metric Spaces
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Abstract
In this study, we will demonstrate a common fixed point theory for two weakly compatible self-maps and on a dislocated metric space that satisfy the E.A. property and (CLR) property as well as the following -weakly expansive mappings.
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References
Banach S. Sur les operatons dans les ensembles abstraits et leur application aux equations integrales. Fund. Math. 1922;3:133-181.
Jungck G. Commuting mappings and fixed points. Amer. Math. Monthly. 1976;83(4).
Wang SZ, Li BY, Gao ZM, Iseki K. Some fixed point theorems on expansion mappings. Math. Japon. 1984;29:631-636.
Kang SM, Kumar M, Kumar P, Kumar S. Fixed point theorems for ϕ-weakly expansive mappings in metric space. Int. J. Pure Appl. Math. 2014;90(2):143-152.
Kim JK, Kumar M, Preeti, Poonam, Lim, WH. Common fixed point theorems for two self maps satisfying ξ-weakly expansive mappings in dislocated metric space. Nonlinear Funct. Anal. Appl. 2022;27(2):271-287.
Padcharoen A, Gopal D, Akkasriworn N. Hardy-Rogers Type Mappings on Dislocated Quasi Metric Spaces. Journal of Nonlinear Analysis and Optimization: Theory & Applications. 2017;8(2):95-108.
Suthisung N, Muangchoo K, Suwanbamrung P, Wisedsing W, Prabpayak C, Padcharoen A. Geraghty type generalized F-contraction for dislocated quasi-metric spaces. Int. J. Math. Comput. Sci. 2023;18(2):359-367.
Hitzler P, Seda AK. Dislocated Topologies. J. Electr. Engg. 2000;51(12):3-7.
Jungck G. Common fixed points for non-continuous non-self maps on non-metric spaces. Far East J. Math.Sci. 1996;4(2):199-212.
Aamri M, Moutawakil Del. Some new common fixed point theorems under strict contractive conditions. J. Math. Anal. Appl. 2002;270:181-188.
Sintunavarat W, Kumam P. Common fixed point theorem for a pair of weakly compatible mappings in fuzzy metric space. J. Appl. Math. 2011; 14 pages. Article ID 637958.