Coincidence and common fixed point results under generalized (A,S)f-contractions

DOI10.2298/FIL1807651AzbMath1499.54148OpenAlexW3092020704MaRDI QIDQ5024947

Waleed M. Alfaqih, Rqeeb Gubran, Mohammad Imdad

Publication date: 1 February 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1807651a

zbMATH Keywords

binary relationcommon fixed pointcoincidence pointsimulation function\(\mathcal{R}\)-function\((\mathcal{A},\mathcal{S})\)-contraction

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Related Items (4)

Edge theoretic extended contractions and their applications ⋮ Existence of the solution to second order differential equation through fixed point results for nonlinear F-contractions involving w0-distance ⋮ Relation-theoretic coincidence and common fixed point results under \((F,\mathcal{R})_g\)-contractions with an application ⋮ Fixed point, data dependence, and well-posed problems for multivalued nonlinear contractions

Cites Work

• Common fixed point theorems under \((R,\mathcal{S})\)-contractivity conditions
• Coincidence point theorems on metric spaces via simulation functions
• Some new fixed point theorems under \((\mathcal {A},\mathcal {S})\)-contractivity conditions
• Relation-theoretic contraction principle
• Compatible mapping and common fixed points
• Fixed point theorems on a metric space endowed with an arbitrary binary relation and applications
• Multidimensional fixed-point theorems in partially ordered complete partial metric spaces under \((\psi, \varphi)\)-contractivity conditions
• The Ran-Reurings fixed point theorem without partial order: a simple proof
• New fixed point theorem under \(R\)-contractions
• Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations
• Nonlinear contractions involving simulation functions in a metric space with a partial order
• A fixed point theorem in partially ordered sets and some applications to matrix equations
• A RELATION-THEORETIC EXPANSION PRINCIPLE
• A new approach to the study of fixed point theory for simulation functions

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