COINCIDENCE POINTS AND COMMON FIXED POINTS OF EXPANSIVE MAPPINGS IN $A_b$-METRIC SPACES

Anil Bakhru; Richa Gupta; Manoj Ughade

Anil Bakhru Department of Mathematics, S.V. Polytechnic College, Bhopal - 462002, Madhya Pradesh, INDIA

Richa Gupta Department of Mathematics, Sarvepalli Radhakrishnan University, Bhopal - 462047, Madhya Pradesh, INDIA

Manoj Ughade Department of Mathematics, Government J. H. Post Graduate College, Betul - 460001, Madhya Pradesh, INDIA

Volume 17, Issue 1 Pages 383-396 April 30, 2021 250 downloads

Article overview

Abstract

In this study, we prove some fixed point theorems for expansive mappings on $A_b$-metric spaces. Finally, the example is presented to support the new theorem proved. Our results extend/generalize many pre-existing results in literature.

Keywords and Phrases

$A_b$-metric spaceexpansive mappingfixed point.

AMS Subject Classification

47H09, 47H10.

Reference information

How to Cite

Anil Bakhru, Richa Gupta, Manoj Ughade (2021). COINCIDENCE POINTS AND COMMON FIXED POINTS OF EXPANSIVE MAPPINGS IN $A_b$-METRIC SPACES. South East Asian Journal of Mathematics and Mathematical Sciences, 17(1), 383-396.

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