@article{Sk2022, 
author = {Faruk Sk and Faizan Ahmad Khan and Qamrul Haq Khan and Aftab Alam},
title = {Relation-preserving generalized nonlinear contractions and related fixed point theorems},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {4},
pages = {6634-6649},
keywords = {(ϕ, ψ)-contractions, locally finitely T-transitive binary relations, R-complete metric space},
url = {https://www.sciopen.com/article/10.3934/math.2022370},
doi = {10.3934/math.2022370},
abstract = {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.}
}