Semi-compatible mappings and common fixed point theorems of an implicit relation via inverse \(C\)-class functions

DOI10.3934/math.2021160OpenAlexW3114048236MaRDI QIDQ2146634

Mohammad Saeed Khan, Mukesh Kumar Jain, Mi Zhou, Nicolae-Adrian Secelean

Publication date: 17 June 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2021160

zbMATH Keywords

common fixed pointimplicit relation\( f\)-semi-compatible mapping\( g\)-semi-compatible mapping\(f\)-compatibility of type (E)inverse \(C\)-class functionsemi-compatibility of type \((A)\)

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)

Cites Work

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• On some generalizations of commuting mappings
• Weak reciprocal continuity and fixed point theorems
• Generalized \(I\)-nonexpansive selfmaps and invariant approximations
• A common fixed point theorem under a new condition
• Inertial algorithm for approximating a common fixed point for a countable family of relatively nonexpansive maps
• Compatible mapping and common fixed points
• On various generalizations of semi-\(\mathcal{A}\)-Fredholm operators
• Faintly compatible mappings and common fixed points
• A UNIQUE COMMON FIXED POINT FOR COMPATIBLE MAPPINGS OF TYPE (B) SATISFYING AN IMPLICIT RELATION
• GENERAL FIXED POINT THEOREMS FOR WEAKLY COMPATIBLE MAPS
• Compatible mappings of type (B) and common fixed point theorems of Greguš type