COINCIDENCE POINTS AND COMMON FIXED POINTS OF EXPANSIVE MAPPINGS IN $A_b$-METRIC SPACES
Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 145
DOI:
Author :
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)
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 space, expansive mapping, fixed point.
A.M.S. subject classification
47H09, 47H10.
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