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Accelerated projection-based forward-backward splitting algorithms for monotone inclusion problems
Authors:Bing Tan  Zheng Zhou  Xiaolong Qin
Institution:Institute of Fundamental and Frontier Sciences, University of Electronic Science and Technology of China, Chengdu, China; Department of Mathematics, Zhejiang Normal University, Jinhua, China
Abstract:In this paper, based on inertial and Tseng''s ideas, we propose two projection-based algorithms to solve a monotone inclusion problem in infinite dimensional Hilbert spaces. Solution theorems of strong convergence are obtained under the certain conditions. Some numerical experiments are presented to illustrate that our algorithms are efficient than the existing results.
Keywords:Monotone operator  forward-backward splitting algorithm  strong convergence  inclusion problem  
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