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Research Article | Open Access

Results on Coincidence and common fixed point theorems for L R -contraction

Shahbaz Ali1 Maneesha2( )Asik Hossain3Qamrul Haque Khan1Suhel Ahmad Khan2
Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
BITS-Pilani, Dubai Campus, Dubai, P.O. Box 345055, United Arab Emirates
School of Applied Sciences and Humanities, Haldia Institute of Technology, Haldia 721657, India
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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 R contraction. We also provide appropriate added suitable examples to establish the genuineness of our newly established results over the corresponding earlier known results.

CLC number: 47H10, 54H25

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AIMS Mathematics
Pages 2578-2594

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Cite this article:
Ali S, Maneesha, Hossain A, et al. Results on Coincidence and common fixed point theorems for L R -contraction. AIMS Mathematics, 2026, 11(1): 2578-2594. https://doi.org/10.3934/math.2026104

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Received: 13 November 2025
Revised: 20 December 2025
Accepted: 04 January 2026
Published: 27 January 2026
©2026 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)