Original scientific paper
Strong convergence theorem for accretive mapping in Banach spaces
Zhenhua He
; Department of Mathematics, Honghe University, Mengzi, P. R. China
Abstract
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 [] and they improve the corresponding results
in [6,14]
Keywords
Strong convergence; accretive mapping; uniformly Gâteaux differentiable norm
Hrčak ID:
61851
URI
Publication date:
8.12.2010.
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