COMMON FIXED-POINTS OF RATIONAL CONTRACTIONS IN SUPERMETRIC SPACES

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 19

Volume : 20 , Issue : 2
DOI: https://doi.org/10.56827/SEAJMMS.2024.2002.24
Author :
Manoj Ughade (Department of Mathematics, Institute for Excellence in Higher Education (IEHE), Bhopal - 462016, Madhya Pradesh, INDIA)
Deepak Singh (Department of Mathematics, Swami Vivekanand University, Sagar - 470001, Madhya Pradesh, INDIA)
Sheetal Yadav (Department of Mathematics, Mata Gujri Mahila Mahavidhyala (Auto), Jabalpur - 482001, Madhya Pradesh, INDIA)

Abstract

In this study, we prove a common fixed-point theorem for generalized rational-type contraction in supermetric space. Our findings expand the contractions of metric spaces to a supermetric space through Kannan's contraction, Reich’s contraction, and Dass-Gupta's rational contraction. These theorems also extend to the supermetric context and generalize many interesting results from metric fixed-point theory. Additionally, we provide an example to elucidate our theorems.

Keywords and Phrases

Fixed point, iterative methods, contraction, rational contraction, super-metric space.

A.M.S. subject classification

47H10, 54H25.

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