On the inertial forward-backward splitting technique for solving a system of inclusion problems in Hilbert spaces
Shih-sen Chang, Jen‐Chih Yao, Lin Wang, Min Liu, Liangcai Zhao
Abstract
The purpose of this paper is to introduce and study the existence problem of solution for a system of monotone variational inclusion problems in Hilbert spaces. By using the inertial forward-backward splitting technique, we propose and analyze an algorithm. Under suitable conditions, we proved that the sequence generated by the algorithm converges strongly to a solution of such kind of monotone variational inclusion problems. At the end of the paper, some applications are also given. The results presented in the paper extend and improve some recent results.
Topics & Concepts
MathematicsHilbert spaceMonotone polygonInertial frame of referenceSequence (biology)Inclusion (mineral)Applied mathematicsVariational inequalityMathematical analysisMathematical optimizationGeometryGender studiesGeneticsSociologyBiologyQuantum mechanicsPhysicsOptimization and Variational AnalysisContact Mechanics and Variational InequalitiesTopology Optimization in Engineering