Fixed point theorems for \(F_{\mathfrak{R}}\)-contractions with applications to solution of nonlinear matrix equations

DOI10.1007/s11784-016-0306-zzbMath1491.54153OpenAlexW2527250115MaRDI QIDQ1687156

Kanokwan Sawangsup, Wutiphol Sintunavarat, Antonio-Francisco Roldán-López-de-Hierro

Publication date: 22 December 2017

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-016-0306-z

zbMATH Keywords

complete metric spacebinary relation\(F_{\mathfrak {R}}\)-contraction

Mathematics Subject Classification ID

Complete metric spaces (54E50) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Matrix equations and identities (15A24) Special maps on metric spaces (54E40)

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Cites Work

• Solving systems of nonlinear matrix equations involving Lipschitzian mappings
• Fixed points of a new type of contractive mappings in complete metric spaces
• Coupled fixed point, \(F\)-invariant set and fixed point of \(N\)-order
• Solving a class of matrix equations via the Bhaskar-Lakshmikantham coupled fixed point theorem
• Iterative approximation of fixed points
• Relation-theoretic contraction principle
• Some new results and generalizations in metric fixed point theory
• Some theorems on weakly contractive maps.
• FIXED POINTS OF ORDERED F-CONTRACTIONS
• Fixed point theory for generalized contractive maps of Meir-Keeler type
• A Generalization of Banach's Contraction Principle
• Fixed Point Theorems for Mappings with a Contractive Iterate at a Point
• A fixed point theorem in partially ordered sets and some applications to matrix equations
• A generalized Banach contraction principle that characterizes metric completeness
• On Nonlinear Contractions
• A Generalization of a Fixed Point Theorem of Reich
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