A modified inertial subgradient extragradient method for solving pseudomonotone variational inequalities and common fixed point problems
Lu-Chuan CengGeneral Education Center, National Yunlin University of Science and Technology, Douliou 64002, TaiwanAdrian PetruşelResearch Center for Interneural Computing, China Medical University Hospital, Taichung 40447, TaiwanXiaolong QinResearch Center for Interneural Computing, China Medical University Hospital, Taichung 40447, TaiwanJinke YaoAcademy of Romanian Scientists, Bucharest, Romania
2020en
ABI
Abstract
In this paper, we introduce a modified inertial subgradient extragradient method for solving a variational inequality problem with Lipschitz pseudomonotone mapping and a common fixed-point problem of a family of nonexpansive mappings. Under mild conditions, we obtain strong convergence theorems in a real Hilbert space. An application is also provided.
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