Hybrid Descent-Like Halpern Iteration Methods for Two Nonexpansive Mappings and Semigroups on Two Sets

Nguyễn Bường, Hoang Quoc Viet, Cau Giay, Nguyễn Đức Lạng · 2012

In this paper, we introduce some new iteration methods based on the hybrid method in mathematical programming, the descent-like iterative method and the Halpern’s method for finding a common fixed point of two nonexpansive mappings and nonexpansive semigroups on two closed and convex subsets in Hilbert spaces.

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