Sadovskii's fixed point theorem without convexity

DOI10.1016/S0362-546X(03)00038-5zbMath1028.47042OpenAlexW2019167479MaRDI QIDQ1870902

Mohamed Amine Khamsi

Publication date: 14 May 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(03)00038-5

zbMATH Keywords

Fixed pointMeasure of noncompactnessCondensing mappingsHyperconvexNonexpansive mappings

Mathematics Subject Classification ID

Fixed-point theorems (47H10)

Related Items (7)

Fixed point theorems for generalized set-contraction maps and their applications ⋮ Fixed point theorems for the class S-KKM mappings in abstract convex spaces ⋮ Metric fixed point theory on hyperconvex spaces: recent progress ⋮ Minimum selections and fixed points of set-valued operators in Banach spaces with some uniform convexity ⋮ Remarks on approximate fixed points ⋮ The Chebyshev selections and fixed points of set-valued mappings in Banach spaces with some uniform convexity ⋮ Best approximation theorems for nonexpansive and condensing mappings in hyperconvex spaces

Cites Work

• Extension of uniformly continuous transformations and hyperconvex metric spaces
• KKM and Ky Fan theorems in hyperconvex metric spaces
• Measures of noncompactness in metric fixed point theory
• Six theorems about injective metric spaces
• On nonlinear contraction semigroups in sup norm spaces
• Existence of Fixed Points of Nonexpansive Mappings in Certain Banach Lattices
• A Fixed Point Theorem for Mappings which do not Increase Distances
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