4 papers
Convergence analysis of the Halpern iteration with adaptive anchoring parameters
Songnian He, Hong-Kun Xu, Qiao-Li Dong +1
We propose an adaptive way to choose the anchoring parameters for the Halpern iteration to find a fixed point of a nonexpansive mapping in a real Hilbert space. We prove strong con…
Contractive difference-of-convex algorithms
Songnian He, Qiao-Li Dong, Michael Th. Rassias
The difference-of-convex algorithm (DCA) and its variants are the most popular methods to solve the difference-of-convex optimization problem. Each iteration of them is reduced to…
Inertial randomized Kaczmarz algorithms for solving coherent linear systems
Songnian He, Ziting Wang, Qiao-Li Dong
In this paper, by regarding the two-subspace Kaczmarz method [20] as an alternated inertial randomized Kaczmarz algorithm we present a new convergence rate estimate which is shown…
Strong Convergence Theorems by Generalized CQ Method in Hilbert Spaces
Songnian He, Tian Shi
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 st…