On successive approximations for compact-valued nonexpansive mappings

DOI10.1007/s11228-023-00684-1arXiv2203.03470OpenAlexW4384664600MaRDI QIDQ6163862

Emir Medjic

Publication date: 26 July 2023

Published in: Set-Valued and Variational Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.03470

zbMATH Keywords

Banach spacegeneric propertysuccessive approximationsset-valued nonexpansive mapping

Mathematics Subject Classification ID

Baire category, Baire spaces (54E52) Set-valued operators (47H04) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (2)

On generic convergence of successive approximations of mappings with convex and compact point images ⋮ Porosity phenomena of non-expansive, Banach space mappings

Cites Work

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• Two porosity theorems for nonexpansive mappings in hyperbolic spaces
• The number of nearest and farthest points to a compactum in Euclidean space.
• Algorithms based on unions of nonexpansive maps
• Porosity results for sets of strict contractions on geodesic metric spaces
• Not too well differentiable Lipschitz isomorphisms
• Union averaged operators with applications to proximal algorithms for MIN-convex functions
• A Note on Contractive Mappings
• Spheres in Infinite-Dimensional Normed Spaces are Lipschitz Contractible
• Cardinality of the metric projection on typical compact sets in Hilbert spaces
• The Fermat Rule for Set Optimization Problems with Lipschitzian Set-Valued Mappings
• On the radial projection in normed spaces
• A Simple Norm Inequality
• On the typical structure of compact sets
• Porosity phenomena of non-expansive, Banach space mappings

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