The nonlinear ergodic theorem for asymptotically nonexpansive mappings in Banach spaces. (English) Zbl 0781.47045
The authors prove some results related to the weak almost convergence of the sequence of an asymptotically non-expansive mapping in a uniformly convex Banach space that has a Frechet differentiable norm. They also extend the results to a nonlinear ergodic theorem.
Reviewer: J.Achari (Nanded)
MSC:
| 47H10 | Fixed-point theorems |
| 47H09 | Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. |
| 47H20 | Semigroups of nonlinear operators |
Keywords:
weak almost convergence; sequence of an asymptotically non-expansive mapping; uniformly convex Banach space; Frechet differentiable norm; nonlinear ergodic theoremReferences:
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