Generic well-posedness of fixed point problems

DOI10.1007/s10013-017-0251-1zbMath1394.47059OpenAlexW2622769970MaRDI QIDQ684034

Simeon Reich, Zaslavski, Alexander J.

Publication date: 9 February 2018

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10013-017-0251-1

zbMATH Keywords

fixed pointnonexpansive mappingwell-posednesscomplete metric spaceaffine mappingorder-preserving mapping

Mathematics Subject Classification ID

Complete metric spaces (54E50) Baire category, Baire spaces (54E52) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Special maps on metric spaces (54E40)

Related Items (7)

Fixed point theorems for set-valued \(G\)-contractions in a graphical convex metric space with applications ⋮ Fixed point results for non-self nonlinear graphic contractions in complete metric spaces with applications ⋮ Fixed point problem of a multi-valued Kannan-Geraghty type contraction via \(w\)-distance ⋮ Approximation and stability of common fixed points of Prešić type mappings in ultrametric spaces ⋮ Fixed point theorems in \(b\)-metric spaces with applications to differential equations ⋮ An approximation theorem and generic convergence for equilibrium problems ⋮ Existence, uniqueness and well-posedness results for relation theoretic coupled fixed points problem using \(\mathbf{C}\)-class function with some consequences and an application

Cites Work

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• Most maximally monotone operators have a unique zero and a super-regular resolvent
• Approximate fixed points of nonexpansive mappings in unbounded sets
• Generic existence and approximation of fixed points for nonexpansive set-valued maps
• Convergence of generic infinite products of order-preserving mappings
• Convergence of generic infinite products of affine operators
• A note on well-posed null and fixed point problems
• Genericity in nonlinear analysis
• On One-Sided Lipschitz Stability of Set-Valued Contractions
• A Note on Contractive Mappings
• Nonexpansive iterations in hyperbolic spaces
• Convergence of Krasnoselskii-Mann iterations of nonexpansive operators

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