Comparison of \(P\)-convexity, \(O\)-convexity and other geometrical properties

DOI10.1016/j.jmaa.2012.07.021zbMath1270.46014OpenAlexW2073352085MaRDI QIDQ714093

Enrique Llorens-Fuster, Helga Fetter Nathansky

Publication date: 19 October 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.07.021

zbMATH Keywords

fixed points\(P\)-convexity\(O\)-convexity

Mathematics Subject Classification ID

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

Related Items (2)

A product space with the fixed point property ⋮ \(I\)-convexity and \(Q\)-convexity in Orlicz-Bochner function spaces equipped with the Luxemburg norm

Cites Work

• Unnamed Item
• A class of \(P\)-convex spaces lacking normal structure
• Convexity conditions and normal structure of Banach spaces
• The fixed point property via dual space properties
• Properties WORTH and WORTH\(^*\), \((1+\delta)\) embeddings in Banach spaces with 1-unconditional basis and wFPP
• \(P\)-convexity of Musielak-Orlicz sequence spaces of Bochner type
• The fixed point property and normal structure for some B-convex Banach spaces
• Asymptotic Normal Structure and Fixed Points of Nonexpansive Mappings
• A sufficient condition for the fixed point property
• Convexity conditions in normed linear spaces.
• Packing and Reflexivity in Banach Spaces

This page was built for publication: Comparison of \(P\)-convexity, \(O\)-convexity and other geometrical properties