COMMON FIXED POINTS FOR SEMIGROUPS OF POINTWISE LIPSCHITZIAN MAPPINGS IN BANACH SPACES

DOI10.1017/S0004972711002668zbMath1236.47060OpenAlexW1985663056MaRDI QIDQ3110911

Wojciech M. Kozlowski

Publication date: 17 January 2012

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972711002668

zbMATH Keywords

uniformly convex Banach spacescommon fixed pointsasymptotically nonexpansive mappingsasymptotically contractive mappingspointwise Lipschitzian semigroups

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) 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 ⋮ 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 ⋮ Approximating common fixed points of Lipschitzian pseudocontraction semigroups ⋮ Iterative approximation for generalized asymptotically $k$-strict pseudocontractive type mappings ⋮ On convergence of iteration processes for nonexpansive semigroups in uniformly convex and uniformly smooth 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

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