MODIFIED HYBRID ITERATIVE SCHEMES FOR MAXIMAL MONOTONE OPERATORS AND RELATIVELY NONEXPANSIVE MAPPINGS

Li Wei, Zhou Hai-yun · Xitong kexue yu shuxue · 2010

Two modified hybrid iterative schemes are proposed for approximating the common element of the set of zero points of maximal monotone operators and the set of fixed points of relatively nonexpansive mappings in a real uniformly smooth and uniformly convex Banach space.Furthermore,some strong convergence theorems of the modified hybrid iterative schemes are obtained,which extend some existing related results.

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