Demiclosedness principle and asymptotic behavior for nonexpansive mappings in metric spaces

DOI10.1016/S0893-9659(00)00207-XzbMath0972.54028WikidataQ126591943 ScholiaQ126591943MaRDI QIDQ5938972

Gang Li, Jong Kyu Kim

Publication date: 7 August 2001

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

almost-orbits

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Related Items

Regularization proximal point algorithm for finding a common fixed point of a finite family of nonexpansive mappings in Banach spaces ⋮ A new iterative method for equilibrium problems and fixed point problems for infinite family of nonself strictly pseudocontractive mappings ⋮ On the convergence theorems for a countable family of Lipschitzian pseudocontraction mappings in Banach spaces ⋮ Demiclosedness principles for generalized nonexpansive mappings ⋮ An iteration method for common solution of a system of equilibrium problems in Hilbert spaces ⋮ A new explicit iteration method for variational inequalities on the set of common fixed points for a finite family of nonexpansive mappings ⋮ Asymptotic behavior for almost-orbits of a reversible semigroup of non-Lipschitzian mappings in a metric space.

Cites Work

• Asymptotic behavior for commutative semigroups of asymptotically nonexpansive-type mappings
• On the asymptotic behaviour of almost-orbits of nonlinear contraction semigroups in Banach spaces
• Demiclosedness principle and asymptotic behavior for asymptotically nonexpansive mappings
• On uniform opial condition and uniform Kadec-Klee property in Banach and metric spaces
• Semicontractive and semiaccretive nonlinear mappings in Banach spaces

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