Viscosity approximation fixed points for nonexpansive and -accretive operators
© R. Chen and Z. Zhu. 2006
Received: 10 June 2006
Accepted: 22 July 2006
Published: 17 October 2006
Let be a real reflexive Banach space, let be a closed convex subset of , and let be an -accretive operator with a zero. Consider the iterative method that generates the sequence by the algorithm where and are two sequences satisfying certain conditions, denotes the resolvent for , and let be a fixed contractive mapping. The strong convergence of the algorithm is proved assuming that has a weakly continuous duality map.
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