A Strongly Convergent Modified Halpern Subgradient Extragradient Method for Solving the Split Variational Inequality Problem

被引：0
作者：
Pham Van Huy
Nguyen Duc Hien
Tran Viet Anh
机构：
[1] Ton Duc Thang University,AI Lab, Faculty of Information Technology
[2] Duy Tan University,Office of Scientific Research and Technology
[3] Posts and Telecommunications Institute of Technology,Department of Scientific Fundamentals
来源：
Vietnam Journal of Mathematics | 2020年 / 48卷
关键词：
Split variational inequality problem; Split feasibility problem; Halpern subgradient extragradient method; Strong convergence; Pseudomonotone mapping; 49M37; 90C26; 65K15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We propose a method for solving the split variational inequality problem (SVIP) involving Lipschitz continuous and pseudomonotone mappings. The proposed method is inspired by the Halpern subgradient extragradient method for solving the monotone variational inequality problem with a simple step size. A strong convergence theorem for an algorithm for solving such a SVIP is proved without the knowledge of the Lipschitz constants of the mappings. As a consequence, we get a strongly convergent algorithm for finding the solution of the split feasibility problem (SFP), which requires only two projections at each iteration step. A simple numerical example is given to illustrate the proposed algorithm.
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页码：187 / 204
页数：17
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