Continuous selections and retractive representations for the fixed points sets of set valued Reich's contractions

DOI10.1016/j.jmaa.2019.05.050zbMath1429.54026OpenAlexW2947799642MaRDI QIDQ2320037

Longin E. Rybiński

Publication date: 21 August 2019

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2019.05.050

zbMATH Keywords

contractionfixed pointcontinuous selectionset valued map

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Fixed-point theorems (47H10) Set-valued operators (47H04) Selections in general topology (54C65) Fixed-point and coincidence theorems (topological aspects) (54H25)

Cites Work

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• A hybrid nonlinear alternative theorem and some hybrid fixed point theorems for multimaps
• An application of the continuous selection theorem to the study of the fixed points of multivalued mappings
• Continuous selections. I
• Hybrid fixed points of multivalued operators in metric spaces with applications
• On fixed point stability for set-valued contractive mappings with applications to generalized differential equations
• A stability result for differential inclusions in Banach spaces
• \({\mathcal A}\)-fixed points of multi-valued contractions
• A fixed point approach in the study of the solution sets of Lipschitzian functional-differential inclusions
• Concepts of lower semicontinuity and continuous selections for convex valued multifunctions
• Existence results for a coupled system of perturbed functional differential inclusions in Banach algebras
• Multivalued versions of a Krasnosel'skii-type fixed point theorem
• Existence of solutions for a nonlinear integral equation via a hybrid fixed point theorem
• Multi-valued contraction mappings
• Multi-valued contraction mappings in generalized metric spaces
• Some extensions of the Krasnoselskii fixed point theorems
• Michael Selection Theorem Under Weak Lower Semicontinuity Assumption
• Multivalued contraction with parameter
• Continuous Dependence of Fixed Point Sets
• Krasnoselskii's theorem in generalized Banach spaces and application
• Some Remarks Concerning Contraction Mappings
• A Note on Paracompact Spaces

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