Open AccessRelation-theoretic metrical coincidence theorems under weak C-contractions and K-contractions
Author(s) -
Faruk Sk,
Asik Hossain,
Q. H. Khan
Publication year - 2021
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.2021756
Subject(s) - coincidence , mathematics , transitive relation , binary relation , metric space , coincidence point , context (archaeology) , relation (database) , pure mathematics , function (biology) , metric (unit) , fixed point theorem , point (geometry) , discrete mathematics , combinatorics , computer science , geometry , medicine , paleontology , alternative medicine , pathology , database , evolutionary biology , biology , operations management , economics
In this paper, we prove some coincidence point theorems for weak C-contractions and K-contractions involving a new auxiliary function in a metric space endowed with a locally $ f $-transitive binary relation. In this context, we generalize some relevant fixed point results in the literature. Further, we give an example to substantiate the utility of our results.