Approximation Fixed Points of Nonexpansive Maps in Banach Spaces

摘要

In this paper, the author introduces a more general iterative scheme, and proves that the iterative sequence converges strongly to a fixed point of a nonexpansive mapping which solves some variational inequality in the framework of reflexive Banach spaces with the weakly sequentially continuous duality mapping. The presented results extend and unify the corresponding results reported in some recent literatures.