FIXED POINT THEOREMS WITH $\mathcal{P}$-${C}$-CONTRACTION IN PARTIALLY ORDERED MODULAR METRICS SPACES

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 245

Volume : 19 , Issue : 1
DOI: https://doi.org/10.56827/SEAJMMS.2023.1901.32
Author :
Shishir Jain (Department of Mathematics, Shri Vaishnav Vidyapeeth Vishwavidyalaya, Gram Baroli, Sanwer Road, Indore, Madhya Pradesh, INDIA)
Yogita Sharma (Department of Computer Science, Shri Vaishnav Institute of Management, Gumashta Nagar, Indore, Madhya Pradesh, INDIA)

Abstract

This study aims to broaden the understanding of $\mathcal{P}$-$C$ contracts in the context of partially ordered modular metric spaces. In both monotonic and non-monotonic mappings in these spaces, fixed point results have been obtained using this idea. An illustration is provided to demonstrate our key findings. All findings are new and generalize the results of Chaipuniya et al. [12] and Amor et al. [8].

Keywords and Phrases

Fixed point, $\mathcal{P}$-$C$-contraction, Modular metric space, Partially ordered set.

A.M.S. subject classification

47H09, 47H10, 46A80.

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