Korean J. Math. Vol. 31 No. 2 (2023) pp.123-131
DOI: https://doi.org/10.11568/kjm.2023.31.2.123

Best proximity points for contractive mappings in generalized modular metric spaces

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Published: Jun 30, 2023
Keywords:
modular metric space, 2-convex contraction, 2-sided contraction, weakly B-contraction, S-weakly B-contraction
Mathematics Subject Classification:
47H10, 54H25

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V. Anbukkarasi
Department of Mathematics, Bharathidasan University, Tiruchirappalli-620 024, Tamilnadu, India
M. Marudai
Department of Mathematics, Bharathidasan University, Tiruchirappalli-620 024, Tamilnadu, India
R. Theivaraman
Department of Mathematics, Bharathidasan University, Tiruchirappalli-620 024, Tamilnadu, India

Abstract

In this paper, we prove existence of best proximity points for 2-convex contraction, 2-sided contraction, and M-weakly cyclic 2-convex contraction mappings in the setting of complete strongly regular generalized modular metric spaces that generalize many results in the literature.



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