Fixed points of non-expansive mappings associated with invariant means in a Banach space

DOI10.1016/J.NA.2007.03.018zbMath1223.47062OpenAlexW1983960478MaRDI QIDQ943745

Jung Im Kang

Publication date: 10 September 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.03.018

zbMATH Keywords

fixed pointnonexpansive mappinginvariant meanamenable

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Ergodic theorems, spectral theory, Markov operators (37A30) Means on groups, semigroups, etc.; amenable groups (43A07) Nonlinear ergodic theorems (47H25)

Related Items (7)

Asymptotically non-expansive actions of strongly amenable semigroups and fixed points ⋮ Strongly amenable semigroups and nonlinear fixed point properties ⋮ Approximating common fixed points of nonspreading-type mappings and nonexpansive mappings in a Hilbert space ⋮ Invariant means and reversible semigroup of relatively nonexpansive mappings in Banach spaces ⋮ Fixed point set of semigroups of non-expansive mappings and amenability ⋮ Normal structure and common fixed point properties for semigroups of nonexpansive mappings in Banach spaces ⋮ Convergence of a hybrid algorithm for a reversible semigroup of nonlinear operators in Banach spaces

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