drsatyaprakash.singh@rsmams.org
Back to rsmams.org About SEAJMAMS For Authors Submit a Paper Contact Us
Research Article

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

S
Shishir Jain Department of Mathematics, Shri Vaishnav Vidyapeeth Vishwavidyalaya, Gram Baroli, Sanwer Road, Indore, Madhya Pradesh, INDIA
Y
Yogita Sharma Department of Computer Science, Shri Vaishnav Institute of Management, Gumashta Nagar, Indore, Madhya Pradesh, INDIA
Volume 19, Issue 1 Pages 413-432 April 30, 2023 578 downloads
Article overview

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$\mathcal{P}$-$C$-contractionModular metric spacePartially ordered set.

AMS Subject Classification

47H09, 47H10, 46A80.

Reference information

How to Cite

Shishir Jain, Yogita Sharma (2023). FIXED POINT THEOREMS WITH $\mathcal{P}$-${C}$-CONTRACTION IN PARTIALLY ORDERED MODULAR METRICS SPACES. South East Asian Journal of Mathematics and Mathematical Sciences, 19(1), 413-432.
Back to this issue
Copied