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Accelerated projection-based forward-backward splitting algorithms for monotone inclusion problems
Bing Tan,Zheng Zhou,Xiaolong Qin
Keywords:Monotone operator, Forward-backward splitting algorithm, Strong convergence, Inclusion problem
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.