An overview on the Prus-Szczepanik condition

DOI10.1186/1687-1812-2014-37zbMath1359.46011OpenAlexW2140574723WikidataQ59318529 ScholiaQ59318529MaRDI QIDQ2017376

Eva María Mazcuñán-Navarro, Omar Muñiz-Pérez, Enrique Llorens-Fuster, Carlos Alberto Hernández-Linares

Publication date: 20 March 2015

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2014-37

zbMATH Keywords

fixed point propertyOpial modulus(PS) condition\(E\)-convexityuniformly noncreasy Banach spaces

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Geometry and structure of normed linear spaces (46B20)

Related Items (1)

The fixed point property for some generalized nonexpansive mappings and renormings

Cites Work

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• A product space with the fixed point property
• A class of \(P\)-convex spaces lacking normal structure
• Nearly uniformly noncreasy Banach spaces
• Measures of noncompactness in metric fixed point theory
• Opial modulus, moduli of noncompact convexity and fixed points for asymptotically regular mappings
• On the Suzuki nonexpansive-type mappings
• Banach spaces with the uniform opial property
• Convexity conditions in normed linear spaces.
• Opial’s modulus and fixed points of semigroups of mappings
• Banach spaces which are uniformly noncreasy
• Demiclosedness principle and asymptotic behavior for asymptotically nonexpansive mappings
• Packing and Reflexivity in Banach Spaces

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