A characterization of convex subsets of normed spaces

DOI10.2996/kmj/1138846819zbMath0271.54021OpenAlexW1996913437MaRDI QIDQ3215997

Hilton Machado

Publication date: 1973

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138846819

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Metric spaces, metrizability (54E35) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Convex sets without dimension restrictions (aspects of convex geometry) (52A05)

Related Items (9)

Coincidence point theorems in probabilistic metric spaces with a convex structure ⋮ Convexity structures in \(T_{0}\)-quasi-metric spaces ⋮ Some logical metatheorems with applications in functional analysis ⋮ Lipschitz functions on topometric spaces ⋮ The convexity of Chebyshev sets in normed spaces ⋮ Fixed points for condensing multifunctions in metric spaces with convex structure ⋮ Continuous first order logic and local stability ⋮ General logical metatheorems for functional analysis ⋮ Fixed point results for enriched ordered contractions in noncommutative Banach spaces

Cites Work

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• A convexity in metric space and nonexpansive mappings. I.
• NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE
• A Fixed Point Theorem for Mappings which do not Increase Distances
• A fixed point theorem for nonexpansive mappings in metric space

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