COUPLED FIXED POINT THEOREMS OF WEAKLY $C$-CONTRACTION WITH MIXED MONOTONE PROPERTY IN ORDERED MODULAR METRIC SPACES

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 226

Volume : 17 , Issue : 3
DOI:
Author :
Shishir Jain (Department of Mathematics, Shri Vaishnav Vidyapeeth Vishwavidyalaya, Gram Baroli, Sanwer Road, Indore - 453111, (M. P.), INDIA)
Yogita Sharma (Department of Computer Science, Shri Vaishnav Institute of Management, Gumashta Nagar, Indore - 452009, (M. P.), INDIA)

Abstract

In this paper, we introduce the notion of weakly $C$-contraction using altering distance function in the setting of modular metric space equipped with partially ordered relation and proved some coupled fixed point results. The results are supported by examples.

Keywords and Phrases

Coupled fixed point, $G$-monotone mapping, weakly C-contraction, modular metric space, partially ordered set.

A.M.S. subject classification

47H09, 47H10, 46A80.

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