Asymptotic behaviour for an almost-orbit of nonexpansive semigroups in Banach spaces

DOI10.1017/S0004972700022358zbMath0951.47052MaRDI QIDQ4487290

Jong Kyu Kim, Gang Li

Publication date: 24 July 2000

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

zbMATH Keywords

semitopological semigroupcommon fixed pointnonexpansive mapOpial conditionnonexpansive semigroupalmost-orbitweakly compact subset

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

Asymptotic behavior for almost-orbits of a reversible semigroup of non-Lipschitzian mappings in a metric space.

Cites Work

• Asymptotic behavior of almost-orbits of reversible semigroups of Lipschitzian mappings
• Weak convergence and nonlinear ergodic theorems for reversible semigroup of nonexpansive mappings
• Nonlinear ergodic theorems for commutative semigroups of asymptotically nonexpansive mappings
• On the asymptotic behaviour of almost-orbits of nonlinear contraction semigroups in Banach spaces
• Demiclosedness principle and asymptotic behavior for asymptotically nonexpansive mappings
• Asymptotic behavior for asymptotically nonexpansive mappings
• Weak convergence of the sequence of successive approximations for nonexpansive mappings

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