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

Volume 22, Issue 2, pp 97--109 http://dx.doi.org/10.22436/jmcs.022.02.01

Publication Date: July 15, 2020 Submission Date: April 05, 2020 Revision Date: April 24, 2020 Accteptance Date: May 16, 2020

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Authors

Lakshmi Narayan Mishra - Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology (VIT) University, Vellore 632 014, Tamil Nadu, India. Vinita Dewangan - Govt. S.N. College Nagari Distt.-Dhamtari, Chhattishgarh, India. Vishnu Narayan Mishra - Dept. of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak, Anuppur, Madhya Pradesh 484 887, India. Seda Karateke - Department of Mathematics and Computer Science, Faculty of Science and Letters, Istanbul Arel University, Istanbul-34537, Turkey.

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.

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Keywords

• Fixed point
• best proximity points
• metric space
• \(b\)-metric space
• admissible mapping

MSC

•  41A65
•  47H05
•  47H09
•  47H10
•  54H25
•  90C30

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