Approximating Iterations for Nonexpansive and Maximal Monotone Operators

Zhangsong Yao, Sun Young Cho, Shin Min Kang, Li-Jun Zhu · Abstract and Applied Analysis · 2015

We present two algorithms for finding a zero of the sum of two monotone operators and a fixed point of a nonexpansive operator in Hilbert spaces. We show that these two algorithms converge strongly to the minimum norm common element of the zero of the sum of two monotone operators and the fixed point of a nonexpansive operator.

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