Weak topology and Browder--Kirk's theorem on hyperspace

DOI10.1016/J.JMAA.2006.12.078zbMath1126.47044OpenAlexW2040116564MaRDI QIDQ996864

Jen-Chun Fang, Thakyin Hu

Publication date: 19 July 2007

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.2006.12.078

zbMATH Keywords

hyperspacefixed pointnonexpansive mappingnormal structure

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Geometry and structure of normed linear spaces (46B20) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (2)

MULTIVALUED FRACTALS AND HYPERFRACTALS ⋮ Markov-Kakutani Theorem on Hyperspace of a Banach Space

Cites Work

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• Weak convergence of convex sets in Banach spaces
• Scalar convergence of convex sets
• A general principle for Ishikawa iterations for multi-valued mappings
• Weak Topologies for the Closed Subsets of a Metrizable Space
• On The Infimum of the Hausdorff Metric Topologies
• NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE
• A Fixed Point Theorem for Mappings which do not Increase Distances
• Iterative procedures to approximate fixed points
• An extension of Markov-Kakutani's fixed point theorem

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