Results on Coincidence and common fixed point theorems for $ L_\mathcal{R} $ -contraction

AIMS Mathematics 2026 Open access

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Authors: Shahbaz Ali, Maneesha, Asik Hossain, Qamrul Haq Khan, Suhel Ahmad Khan, BITS-Pilani, Dubai Campus, Dubai, P.O. Box 345055, United Arab Emirates
DOI: 10.3934/math.2026104
Cited by: 0
References: 29

Abstract

In this paper, we establish coincidence and common fixed point theorems for a pair of mappings $(T, S)$ that utilize the binary relation in a metric space employing the concept of a locally finitely $T$ -transitive relation together with an $ L_\mathcal{R} $ contraction. We also provide appropriate added suitable examples to establish the genuineness of our newly established results over the corresponding earlier known results.

Fields of Study & Subjects

Fixed Point Theorems Analysis Functional Equations Stability Results Approximation Theory and Sequence Spaces

Publication details

Journal / source
AIMS Mathematics
Volume
11
Issue
1
Pages
2578–2594
Publication date
1 January 2026