Strong asymptotic normal structure and fixed points in product spaces

DOI10.1016/0362-546X(93)90007-FzbMath0823.47053OpenAlexW1989068467MaRDI QIDQ4289309

Małgorzata Schmidt, Tadeusz Kuczumow, Simeon Reich, Adam Stachura

Publication date: 24 May 1994

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(93)90007-f

zbMATH Keywords

fixed point propertynonexpansive mappingsproduct of hyperbolic spacesstructure of the fixed point sets

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Product spaces in general topology (54B10)

Related Items (3)

Asymptotic normal structure and the semi-opial property ⋮ Minimal Displacement of Points Under Holomorphic Mappings and Fixed Point Properties for Unions of Convex Sets ⋮ Geometrical conditions in product spaces

Cites Work

• Permanence properties of normal structure
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• Sequences of contractions and fixed points
• Some examples in fixed point theory
• Some examples for the fixed point property
• Spaces with non-positive curvature
• An Iteration Process for Nonexpansive Mappings with Applications to Fixed Point Theory in Product Spaces
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• Nonexpansive iterations in hyperbolic spaces
• Fixed Point Theorems in Product Spaces
• Fixed Points of Holomorphic Mappings in the Cartesian Product of n Unit Hilbert Balls
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• The Products of Manifolds with the f.p.p. Need Not have the f.p.p.
• On Normal Structure, Fixed Point Property and Contractions of Type (γ)
• Krasnoselskii's iteration process in hyperbolic space
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• An example in the fixed point theory of polyhedra
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• Properties of Fixed-Point Sets of Nonexpansive Mappings in Banach Spaces
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