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The General Iterative Methods for Asymptotically Nonexpansive Semigroups in Banach Spaces

Rabian Wangkeeree and Pakkapon Preechasilp

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: 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.

Date: 2012
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https://doi.org/10.1155/2012/695183

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