Open AccessRelation-preserving generalized nonlinear contractions and related fixed point theorems
Author(s) -
Faruk Sk,
AUTHOR_ID,
Faizan Ahmad Khan,
Q. H. Khan,
Aftab Alam,
AUTHOR_ID,
AUTHOR_ID
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022370
Subject(s) - mathematics , fixed point theorem , metric space , fixed point , binary relation , transitive relation , nonlinear system , relation (database) , pure mathematics , discrete mathematics , complete metric space , combinatorics , mathematical analysis , computer science , physics , quantum mechanics , database
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.