Relation-theoretic metrical coincidence theorems under weak C-contractions and K-contractions | Zendy

Faruk Sk | Zendy; Asik Hossain | Zendy; Qamrul Haq Khan | Zendy

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Relation-theoretic metrical coincidence theorems under weak C-contractions and K-contractions

Author(s) -

Faruk Sk,

Asik Hossain,

Qamrul Haq 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.

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