The contraction-proximal point algorithm with square-summable errors

Changan Tian, Fenghui Wang · Fixed Point Theory and Applications · 2013

In this paper, we study the contraction-proximal point algorithm for approximating a zero of a maximal monotone mapping. The norm convergence of such an algorithm has been established under two new conditions. This extends a recent result obtained by Ceng, Wu and Yao to a more general case. MSC: 47J20, 49J40, 65J15, 90C25.

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