The effect of the dual on a Banach space and the weak fixed point propery

DOI10.1017/S0004972700033657zbMath1030.46013OpenAlexW2122818106MaRDI QIDQ4709789

Tim Dalby

Publication date: 22 February 2004

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700033657

zbMATH Keywords

nonexpansive mappingweak fixed point property

Mathematics Subject Classification ID

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

Related Items (3)

Convexity conditions and normal structure of Banach spaces ⋮ Relationships between properties that imply the weak fixed point property ⋮ Properties WORTH and WORTH\(^*\), \((1+\delta)\) embeddings in Banach spaces with 1-unconditional basis and wFPP

Cites Work

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• Existence of fixed points of nonexpansive mappings in a space without normal structure
• The fixed point property in Banach spaces with the NUS-property
• Banach spaces with the uniform opial property
• Banach spaces which are uniformly noncreasy
• Weak convergence of the sequence of successive approximations for nonexpansive mappings
• Relationships between properties that imply the weak fixed point property

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