The retractions onto the common fixed points of some families and semigroups of mappings

DOI10.1016/j.na.2008.11.049zbMath1181.47054OpenAlexW1994778219MaRDI QIDQ1026078

Shahram Saeidi

Publication date: 24 June 2009

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.2008.11.049

zbMATH Keywords

nonexpansive mappingretractioncommon fixed pointweak limitamenable semigroupsmapping of type \((\gamma )\)

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

Nonexpansive retractions and fixed point properties ⋮ Ergodic retractions for families of asymptotically nonexpansive mappings ⋮ Fixed point properties and \(Q\)-nonexpansive retractions in locally convex spaces ⋮ Existence of group nonexpansive retractions and ergodic theorems in topological groups ⋮ A note on ``Approximation of fixed points for amenable semigroups of nonexpansive mappings in Banach spaces [Nonlinear Anal. 67 (2007) 1211--1225]

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