The General Iterative Methods for Asymptotically Nonexpansive Semigroups in Banach Spaces

[摘要] 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.

[发布日期] 2012-12-30