An ergodic theorem for asymptotically nonexpansive mappings

DOI10.1017/S0308210500029176zbMath0807.47042OpenAlexW1980647181MaRDI QIDQ4294342

Manfred Krüppel, Jarosław Górnicki

Publication date: 24 May 1994

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500029176

zbMATH Keywords

asymptotically nonexpansive mapbounded closed convex subset of a uniformly convex Banach space

Mathematics Subject Classification ID

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

Cites Work

• On the strong convergence of the Cesaro means of contractions in Banach spaces
• On the convex approximation property and the asymptotic behavior of nonlinear contractions in Banach spaces
• On the almost-convergence of iterates of a nonexpansive mapping in Hilbert space and the structure of the weak \(\omega\)-limit set
• Almost convergence and nonlinear ergodic theorems
• A contribution to the theory of divergent sequences