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Relation-preserving generalized nonlinear contractions and related fixed point theorems

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Bibliographic Details
Title: Relation-preserving generalized nonlinear contractions and related fixed point theorems
Authors: Faruk Sk, Faizan Ahmad Khan, Q. H. Khan, Aftab Alam
Source: AIMS Mathematics, Vol 7, Iss 4, Pp 6634-6649 (2022)
Publisher Information: American Institute of Mathematical Sciences (AIMS), 2022.
Publication Year: 2022
Subject Terms: r-complete metric space, Relation (database), 01 natural sciences, Mathematical analysis, Quantum mechanics, Database, Fixed Point Theorems in Metric Spaces, QA1-939, FOS: Mathematics, Binary relation, 0101 mathematics, Fixed-point theorem, Fixed Point Theorems, Physics, 4. Education, Pure mathematics, locally finitely t-transitive binary relations, Fixed point, (ϕ，ψ)-contractions, Discrete mathematics, Generalized Contractions, 16. Peace & justice, Computer science, Contractive Mappings, Combinatorics, Physical Sciences, Nonlinear system, Complete metric space, Geometry and Topology, Metric space, Transitive relation, Mathematics
Description: 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.
Document Type: Article
Other literature type
ISSN: 2473-6988
DOI: 10.3934/math.2022370
DOI: 10.60692/vz078-z3t16
DOI: 10.60692/xrqbr-0qg84
Access URL: https://doaj.org/article/72c700785b0647ee8dc20d96ee3d78f5
Rights: CC BY
Accession Number: edsair.doi.dedup.....b4b483d1b6297f2be25d5d3f08d0cc86
Database: OpenAIRE
Description
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.
ISSN:24736988
DOI:10.3934/math.2022370