Fixed point iteration processes for asymptotic pointwise nonexpansive mappings in Banach spaces

DOI10.1016/j.jmaa.2010.10.026zbMath1210.47096OpenAlexW2072125783MaRDI QIDQ626137

Wojciech M. Kozlowski

Publication date: 22 February 2011

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.2010.10.026

zbMATH Keywords

fixed pointuniformly convex Banach spaceOpial propertyfixed point iteration processasymptotic pointwise nonexpansive mapping

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

On the convergence of iteration processes for semigroups of nonlinear mappings in modular function spaces, Fixed point iteration processes for asymptotic pointwise nonexpansive mapping in modular function spaces, An approximation method for common fixed points of a finite family of asymptotic pointwise nonexpansive mappings, Pointwise Lipschitzian mappings in uniformly convex and uniformly smooth Banach spaces, Advancements in fixed point theory in modular function spaces, Common fixed points for asymptotic pointwise nonexpansive mappings in metric and Banach spaces, Ishikawa iteration process for asymptotic pointwise nonexpansive mappings in metric spaces, Convergence theorems and stability results of pointwise asymptotically nonexpansive mapping in Banach space, On convergence of iteration processes for nonexpansive semigroups in uniformly convex and uniformly smooth Banach spaces, Bregman asymptotic pointwise nonexpansive mappings in Banach spaces, On the set of common fixed points of semigroups of nonlinear mappings in modular function spaces, Common fixed points for pointwise Lipschitzian semigroups in modular function spaces, COMMON FIXED POINTS FOR SEMIGROUPS OF POINTWISE LIPSCHITZIAN MAPPINGS IN BANACH SPACES

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