Relation-preserving generalized nonlinear contractions and related fixed point theorems | Zendy

Faruk Sk | Zendy; Faizan Ahmad Khan | Zendy; Qamrul Haq Khan | Zendy; Aftab Alam | Zendy

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Relation-preserving generalized nonlinear contractions and related fixed point theorems

Author(s) -

Faruk Sk,

Faizan Ahmad Khan,

Qamrul Haq Khan,

Aftab Alam

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.

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