Weak compactness and the Eisenfeld-Lakshmikantham measure of nonconvexity

DOI10.1186/1687-1812-2012-5zbMath1281.47036OpenAlexW2135318890WikidataQ59271687 ScholiaQ59271687MaRDI QIDQ361212

Isabel Marrero

Publication date: 28 August 2013

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1812-2012-5

zbMATH Keywords

isometryfixed point propertyweak compactnessnonexpansive mapasymptotic centerChebyshev centercondensing mapCantor propertymeasure of nonconvexity

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) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Related Items (1)

Chebyshev centres, Jung constants, and their applications

Cites Work

• A note on reflexivity and nonconvexity
• Fixed points of isometries on weakly compact convex sets
• A Degree Theory, Fixed Point Theorems, and Mapping Theorems for Multivalued Noncompact Mappings
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