Property (M) and the weak fixed point property

DOI10.1090/S0002-9939-97-03953-1zbMath0883.47060OpenAlexW1480951553MaRDI QIDQ4356695

Brailey Sims, García Falset, Jesús

Publication date: 1 October 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-03953-1

zbMATH Keywords

fixed pointsweak normal structurenonexpansive self mappingsnonempty weakly compact convex setsproperty (M) of Kaltonstability under renormings

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)

Related Items (14)

Banach ultrapowers and multivalued nonexpansive mappings ⋮ On a generalized James constant ⋮ Some topological and geometric properties of some new spaces of \(\lambda\)-convergent and bounded series ⋮ Relationships between properties that imply the weak fixed point property ⋮ A note on properties that imply the fixed point property ⋮ The Domínguez--Lorenzo condition and multivalued nonexpansive mappings ⋮ On property \((M)\) and its generalizations ⋮ Weak fixed point property in closed subspaces of some compact operator spaces ⋮ Geometrical conditions in product spaces ⋮ Fixed point property of direct sums ⋮ Fixed point theorems for nonexpansive mappings and Suzuki-generalized nonexpansive mappings on a Banach lattice ⋮ On the Definition ofa-Uniformly Nonsquare and a Generalized Gao Constant ⋮ Generalised Jordan-von Neumann constants and uniform normal structure ⋮ Random fixed point theorem for multivalued nonexpansive operators in Uniformly nonsquare Banach spaces

Cites Work

• Unconditional bases and fixed points of nonexpansive mappings
• \(M\)-ideals of compact operators
• Topological properties of Banach spaces
• The Weak* Karlovitz lemma for dual lattices
• Property (M), M-ideals, and almost isometric structure of Banach spaces.
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