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Nonlinear ergodic theorems for almost-orbits of asymptotically nonexpansive type mappings in Banach spaces. (English) Zbl 0990.47051

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.

MSC:

47H20 Semigroups of nonlinear operators
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
47H10 Fixed-point theorems
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