Relation-preserving generalized nonlinear contractions and related fixed point theorems-Reference-Cited by-同舟云学术

Relation-preserving generalized nonlinear contractions and related fixed point theorems

Published:2022 Issue:4 Volume:7 Page:6634-6649
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Sk Faruk, ,Khan Faizan Ahmad,Khan Qamrul Haq,Alam Aftab, ,

Abstract

<abstract><p>In this paper, we present some fixed point theorems for generalized nonlinear contractions involving a new pair of auxiliary functions in a metric space endowed with a locally finitely $ T $-transitive binary relation. Our newly proved results generalize some well-known fixed point theorems existing in the literature. We also provide an example which substantiates the utility of our results.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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