Strong convergence theorem for accretive mapping in Banach spaces

Zhenhua He · University of Zagreb University Computing Centre (SRCE) · 2010

Suppose K is a closed convex subset of a real reflexive Banach space E which has a uniformly Gâteaux differentiable norm and every nonempty closed convex bounded subset of E has the fixed point property for nonexpansive mappings.We prove a strong convergence theorem for an m-accretive mapping from K to E. The results in this paper are different from the corresponding results in [8] and they improve the corresponding results in [6,14].

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