GENERALIZED IMPLICIT HYBRID PROJECTION-PROXIMAL POINT ALGORITHM FOR MAXIMAL MONOTONE OPERATORS IN HILBERT SPACE

Lu-Chuan Ceng, Jen‐Chih Yao · Taiwanese Journal of Mathematics · 2008

In this paper, we introduce a generalized implicit hybrid projectionproximal point algorithm for finding zeros of a maximal monotone operator in a Hilbert space setting. The global convergence of the method for the weak topology under appropriate assumptions on the algorithm parameters is established.

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