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Best proximity points of admissible almost generalized weakly contractive mappings with rational expressions on b-metric spaces

Lakshmi Narayan Mishra, Vinita Dewangan, Vishnu Narayan Mishra, Seda Karateke

2020Journal of Mathematics and Computer Science28 citationsDOIOpen Access PDF

Abstract

The aim of this paper is to introduce almost generalized proximal \((\alpha-\psi-\varphi-\theta)\)-weakly contractive mappings with rational expressions and prove the best proximity point theorems for such mappings. The main results of this paper are generalizations of several comparable results in the literature.

Topics & Concepts

MathematicsMetric spaceMetric (unit)Pure mathematicsMetric mapMathematical analysisDiscrete mathematicsConvex metric spaceOperations managementEconomicsFixed Point Theorems Analysis