Porosity phenomena of non-expansive, Banach space mappings

DOI10.1007/s11856-022-2461-9arXiv2110.13722OpenAlexW3208557700MaRDI QIDQ6109878

Michael Dymond

Publication date: 31 July 2023

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.13722

Mathematics Subject Classification ID

Classical measure theory (28Axx) Nonlinear operators and their properties (47Hxx) Topological spaces with richer structures (54Exx)

Related Items (2)

On generic convergence of successive approximations of mappings with convex and compact point images ⋮ On successive approximations for compact-valued nonexpansive mappings

Cites Work

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• \(\sigma\)-porosity of the set of strict contractions in a space of non-expansive mappings
• Two porosity theorems for nonexpansive mappings in hyperbolic spaces
• Porosity results for sets of strict contractions on geodesic metric spaces
• On the existence of fixed points for typical nonexpansive mappings on spaces with positive curvature
• On \(\sigma\)-porous sets in abstract spaces
• The set of noncontractive mappings is -porous in the space of all nonexpansive mappings
• A Note on Contractive Mappings
• Sets of $\sigma$-porosity and sets of $\sigma $-porosity $(q)$
• Concave majorants of positive functions
• On successive approximations for compact-valued nonexpansive mappings

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