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Accelerated projection-based forward-backward splitting algorithms for monotone inclusion problems

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arxiv 2004.04326 v2 pith:7EO2O354 submitted 2020-04-09 math.OC math.FA

Accelerated projection-based forward-backward splitting algorithms for monotone inclusion problems

classification math.OC math.FA
keywords algorithmsinclusionmonotoneprojection-basedacceleratedcertainconditionsconvergence
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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.

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