Kim, Jong Kyu; Li, Gang; Nam, Young Man; Kim, Kyung Soo Nonlinear ergodic theorems for almost-orbits of asymptotically nonexpansive type mappings in Banach spaces. (English) Zbl 0990.47051 Bull. Korean Math. Soc. 38, No. 3, 587-603 (2001). Summary: The purpose of this paper is to study the nonlinear ergodic theorems and asymptotic behavior for an almost-orbit of asymptotically nonexpansive type mappings in a uniformly convex Banach space with Opial’s condition. Cited in 3 Documents MSC: 47H20 Semigroups of nonlinear operators 47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. 47H10 Fixed-point theorems Keywords:nonlinear ergodic theorems; asymptotic behavior; almost-orbit; asymptotically nonexpansive type mappings; uniformly convex Banach space; Opial’s condition PDFBibTeX XMLCite \textit{J. K. Kim} et al., Bull. Korean Math. Soc. 38, No. 3, 587--603 (2001; Zbl 0990.47051)