On the Convergence of Iteration Processes for Semigroups of Nonlinear Mappings in Banach Spaces

DOI10.1007/978-1-4614-7621-4_22zbMath1301.47085OpenAlexW120172300MaRDI QIDQ5746452

Wojciech M. Kozlowski, Brailey Sims

Publication date: 18 February 2014

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4614-7621-4_22

zbMATH Keywords

uniformly convex Banach spacecommon fixed pointLipschitzian mappingpointwise Lipschitzian mappingOpial propertyfixed point iteration processIshikawa processMann processasymptotic pointwise nonexpansive mappingsemigroup of mappingsKrasnosel'skij-Mann process

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (7)

MONOTONE LIPSCHITZIAN SEMIGROUPS IN BANACH SPACES ⋮ Fixed point iteration processes for asymptotic pointwise nonexpansive mapping in modular function spaces ⋮ Pointwise Lipschitzian mappings in uniformly convex and uniformly smooth Banach spaces ⋮ Advancements in fixed point theory in modular function spaces ⋮ On convergence of iteration processes for nonexpansive semigroups in uniformly convex and uniformly smooth Banach spaces ⋮ Common fixed points for pointwise Lipschitzian semigroups in modular function spaces ⋮ Stability of iteration processes weakly convergent to stationary points of semigroups of nonlinear operators

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