A renorming of some nonseparable Banach spaces with the fixed point property
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Publication:2518747
DOI10.1016/j.jmaa.2008.02.049zbMath1182.46003OpenAlexW2154205146MaRDI QIDQ2518747
Publication date: 16 January 2009
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.2008.02.049
Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Isomorphic theory (including renorming) of Banach spaces (46B03) Nonseparable Banach spaces (46B26)
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Cites Work
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- Equivalent norms on spaces of bounded functions
- Measures of noncompactness in metric fixed point theory
- Opial modulus and stability of the fixed point property
- There is an equivalent norm on \(\ell_1\) that has the fixed point property
- The structure of weakly compact sets in Banach spaces
- Banach Space Properties of Ciesielski-Pol's C(K) Space
- Equivalent Norms and the Fixed Point Property for Nonexpansive Mappings
- Subspaces of certain Banach Sequence Spaces
- A Fixed Point Free Nonexpansive Map
- Reflexive Banach spaces without equivalent norms which are uniformly convex or uniformly differentiable in every direction
- On Nonexpansive Mappings
- On one generalization of weakly compactly generated Banach spaces
- NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE
- Fixed points of nonexpansive mappings in spaces of continuous functions
- A Fixed Point Theorem for Mappings which do not Increase Distances
- On locally uniformly convex and differentiable norms in certain non-separable Banach spaces
- Normed Linear Spaces that are Uniformly Convex in Every Direction
- Functional analysis and infinite-dimensional geometry
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