A new geometrical coefficient for Banach spaces and its applications in fixed point theory
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Publication:4842558
DOI10.1016/0362-546X(94)00145-8zbMath0830.47041OpenAlexW2053226668WikidataQ126789276 ScholiaQ126789276MaRDI QIDQ4842558
Domínguez Benavides, Tomás, Hong-Kun Xu
Publication date: 4 February 1996
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0362-546x(94)00145-8
Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
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Fixed points of asymptotically regular semigroups in Banach spaces ⋮ On Banach space properties that are not invariant under the Banach-Mazur distance 1 ⋮ Geometrical coefficients and the structure of the fixed-point set of asymptotically regular mappings in Banach spaces ⋮ On the structure of fixed-point sets of asymptotically regular semigroups ⋮ Geometric constants concerning metric fixed point theory: Finite or infinite dimensional character ⋮ Fixed point theorems for uniformly Lipschitzian mappings and asymptotically regular mappings ⋮ Compactness and the fixed point property in \(\ell_{1}\) ⋮ Fixed-point theorems for asymptotically regular mappings in Orlicz function spaces ⋮ Fixed point theorems for asymptotically regular semigroups equipped with generalized Lipschitzian conditions in metric spaces ⋮ Fixed point theorems for asymptotically regular mappings in modular and metric spaces ⋮ Existence of fixed points in a class of convex sets ⋮ Fixed points for several classes of mappings in variable Lebesgue spaces ⋮ Weak uniform normal structure and fixed points of asymptotically regular semigroups
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