Nonlinear ergodic theorems of Dirichlet's type in Hilbert spaces

DOI10.1016/S0362-546X(00)00204-2zbMath1039.47039MaRDI QIDQ5957795

Takeshi Yoshimoto

Publication date: 6 July 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

strong convergenceweak convergenceHilbert spaceergodic theoremnonexpansive mapDirichlet summability

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Summability methods on groups, semigroups, etc. (43A55)

Related Items (1)

Dirichlet summability and strong nonlinear ergodic theorems in Hilbert spaces

Cites Work

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• An ergodic theorem for semigroups of nonexpansive mappings in a Hilbert space
• A fixed point theorem for families of nonexpansive mappings
• Nonlinear ergodic theorems for nonexpansive mappings in Hilbert spaces
• Nonlinear ergodic theorems
• Weak convergence of the sequence of successive approximations for nonexpansive mappings
• The construction of an asymptotic center with a fixed-point property
• A Fixed Point Theorem for Asymptotically Nonexpansive Mappings
• Mean Value Methods in Iteration

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