Structure of the fixed-point set of asymptotically regular mappings in uniformly convex Banach spaces

DOI10.11650/twjm/1500406281zbMath1278.47052OpenAlexW4230704755MaRDI QIDQ652087

Jarosław Górnicki

Publication date: 19 December 2011

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/twjm/1500406281

zbMATH Keywords

fixed pointasymptotically regular mappingsuniformly convex Banach spacesasymptotic center

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Subnormal operators, hyponormal operators, etc. (47B20) Retraction (54C15)

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Remarks on asymptotic regularity and fixed points ⋮ 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 ⋮ Unnamed Item ⋮ Fixed point theorems for asymptotically regular semigroups equipped with generalized Lipschitzian conditions in metric spaces ⋮ Asymptotic regularity, fixed points and successive approximations