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Strong Convergence Theorems by Generalized CQ Method in Hilbert Spaces by He, Songnian; Shi, Tian is a scholarly article available to read on EtoBox.

What is Strong Convergence Theorems by Generalized CQ Method in Hilbert Spaces about?

Recently, CQ method has been investigated extensively. However, it is mainly applied to modify Mann, Ishikawa and Halpern iterations to get strong convergence. In this paper, we study the properties of CQ method and proposed a framework. Based on that, we obtain a series of strong convergence theorems. Some of them are the extensions of previous results. On the other hand, CQ method, monotone Q method, monotone C method and monotone CQ method, used to be given separately, have the following relations: CQ method TRUE $\Rightarrow$ monotone Q method TRUE $\Rightarrow$ monotone C method TRUE $\Leftrightarrow$ monotone CQ method TRUE.

Author

He, Songnian; Shi, Tian

Published

2020

Language

EN