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

DOI10.1016/S0022-247X(02)00497-3zbMath1052.47054OpenAlexW1965146720MaRDI QIDQ1856988

Jong Kyu Kim, Behzad Djafari Rouhani

Publication date: 11 February 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-247x(02)00497-3

zbMATH Keywords

weak convergenceasymptotically nonexpansive type mappings\(\tau\)-Opial conditionsright reversible semigroups

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Special maps on metric spaces (54E40)

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Monotone method for first-order functional differential equations ⋮ Ergodic and fixed point theorems for sequences and nonlinear mappings in a Hilbert space ⋮ A unified approach to the asymptotic almost-equivalence of evolution systems without Lipschitz conditions ⋮ Ergodic theorems for hybrid sequences in a Hilbert space with applications ⋮ Periodic boundary value problem for non-Lipschitzian impulsive functional differential equations

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