A renorming in some Banach spaces with applications to fixed point theory
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Publication:971818
DOI10.1016/j.jfa.2009.10.025zbMath1206.46018OpenAlexW1972032825MaRDI QIDQ971818
Japón Pineda, Maria A., Carlos Alberto Hernández-Linares
Publication date: 17 May 2010
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfa.2009.10.025
fixed point propertynonexpansive mappingsrenormingFourier-Stieltjes algebratopology of convergence locally in measure
Fixed-point theorems (47H10) Geometry and structure of normed linear spaces (46B20) Isomorphic theory (including renorming) of Banach spaces (46B03)
Related Items (16)
On stationary points of nonexpansive set-valued mappings ⋮ Some questions in metric fixed point theory, by A. W. Kirk, revisited ⋮ Unnamed Item ⋮ Renormings and fixed point property in non-commutative \(L_1\)-spaces. II: Affine mappings ⋮ Fixed point properties and reflexivity in variable Lebesgue spaces ⋮ On the structure of the set of equivalent norms on \(\ell _{1}\) with the fixed point property ⋮ New families of nonreflexive Banach spaces with the fixed point property ⋮ About some families of nonexpansive mappings with respect to renorming ⋮ The fixed point property for nonexpansive type mappings in nonreflexive Banach spaces ⋮ Near-infinity concentrated norms and the fixed point property for nonexpansive maps on closed, bounded, convex sets ⋮ Fourier-Stieltjes algebras and measure algebras on compact right topological groups ⋮ Normal structure and common fixed point properties for semigroups of nonexpansive mappings in Banach spaces ⋮ Renormings and the fixed point property in non-commutative \(L_{1}\)-spaces ⋮ Distortion and stability of the fixed point property for non-expansive mappings ⋮ Dual fixed point property on spaces of continuous functions under equivalent norms ⋮ Fixed point property of Hilbert modules over finite dimensional \(\mathrm{C}^*\)-algebras
Cites Work
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- NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE
- A Fixed Point Theorem for Mappings which do not Increase Distances
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