The General Iterative Methods for Asymptotically Nonexpansive Semigroups in Banach Spaces

Rabian Wangkeeree, Pakkapon Preechasilp · Abstract and Applied Analysis · 2012

We introduce the general iterative methods for finding a common fixed point of asymptotically nonexpansive semigroups which is a unique solution of some variational inequalities. We prove the strong convergence theorems of such iterative scheme in a reflexive Banach space which admits a weakly continuous duality mapping. The main result extends various results existing in the current literature.

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