A Strong Convergence Theorem Based on the (A,η)-Maximal Monotonicity Framework

Yongfu Su · College Mathematics · 2010

We suggest and analyze three-step iterations for finding the common element of the set of fixed points of a(A,η)-maximal monotone mapping and the set of the solutions of the inclusion problem using the resolvent operator technique.We also study the convergence criteria of the three-step iterative method under some mild conditions.Our result illumined from a weak theorem by the two steps algorithm of Noor,Huang[1] and the idea of the including problem of Ram U Verma[2].

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