Fixed point property for general topologies in some Banach spaces

DOI10.1017/S0004972700034456zbMath1071.54022OpenAlexW2060011141MaRDI QIDQ3158797

Japón Pineda, Maria A., Stanisław Prus

Publication date: 31 January 2005

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

Full work available at URL: https://doi.org/10.1017/s0004972700034456

zbMATH Keywords

fixed pointsBanach spaces

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Geometry and structure of normed linear spaces (46B20)

Related Items (8)

On Banach space properties that are not invariant under the Banach-Mazur distance 1 ⋮ On isomorphic embeddings of \(c\) into \(L_1\)-preduals and some applications ⋮ On \(\ell_1\)-preduals distant by 1 ⋮ Weak compactness and fixed point property for affine bi-Lipschitz maps ⋮ Fixed point properties and proximinality in Banach spaces ⋮ Basis selection and fixed point results for affine mappings ⋮ \(L\)-embedded Banach spaces and measure topology ⋮ Weak* fixed point property and the space of affine functions

Cites Work

• \(M\)-ideals in Banach spaces and Banach algebras
• Compact Hankel operators with conjugate analytic symbols
• The fixed point property in Banach spaces with the NUS-property
• Weak compactness and fixed point property for affine mappings.
• Some fixed point results on \(L\)-embedded Banach spaces
• Existence of fixed points for mappings of asymptotically nonexpansive type on \(L\)-embedded Banach spaces.
• Structure of the fixed point set and common fixed points of asymptotically nonexpansive mappings
• Existence and convergence for fixed points of mappings of asymptotically nonexpansive type
• Weak compactness is equivalent to the fixed point property in $c_0$
• Characterizations of weakly compact sets and new fixed point free maps in c₀
• The \(\tau\)-fixed point property for nonexpansive mappings
• Functional analysis and infinite-dimensional geometry

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