Asymptotically nonexpansive semigroups in Banach spaces

DOI10.1016/0362-546X(79)90041-5zbMath0411.47035MaRDI QIDQ4199292

Ricardo Torrejón, William A. Kirk

Publication date: 1979

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

fixed point setasymptotically nonexpansive semigroupsnonexpansive retractprecompact orbits

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Fixed-point theorems (47H10) Retraction (54C15)

Related Items

Asymptotic behavior of uniformly asymptotically almost nonexpansive curves in a Hilbert space, Differential equations in a Banach space, Iterative approximation of fixed points for almost asymptotically nonexpansive type mappings in Banach spaces, Some weak convergence theorems for a family of asymptotically nonexpansive nonself mappings, Nonlinear ergodic theorems of nonexpansive type mappings, Iterative fixed points of non-Lipschitzian self-mappings, Nonlinear ergodic theorem for semitopological semigroups of non-Lipschitzian mappings in Banach spaces, Fixed point theorems for left amenable semigroups of non-Lipschitzian mappings in Banach spaces, Nonlinear ergodic theorems for general curves defined on general semigroups., Ergodic retraction theorem and weak convergence theorem for reversible semigroups of non-Lipschitzian mappings, Nonlinear ergodic theorems and weak convergence theorems for reversible semigroup of asymptotically nonexpansive mappings in Banach spaces, On the common fixed points of a commutative family of nonlinear mappings, Application of the product net technique and Kadec-Klee property to study nonlinear ergodic theorems and weak convergence theorems in uniformly convex multi-Banach spaces, Existence of fixed points and retractions for asymptotically nonexpansive semigroups in locally convex spaces

Cites Work

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