Hybrid Inertial Contraction Algorithms for Solving Variational Inequalities with Fixed Point Constraints in Hilbert Spaces

被引：0
作者：
Pham Ngoc Anh
机构：
[1] Posts and Telecommunications Institute of Technology,Department of Scientific Fundamentals
来源：
Acta Mathematica Vietnamica | 2022年 / 47卷
关键词：
Variational inequality problem; Fixed point constraints; Lipschitz continuous; Strongly monotone; Forward-backward method; 65K10; 90C25; 49J35; 47J25; 47J20; 91B50;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, basing on the forward-backward method and inertial techniques, we introduce a new algorithm for solving a variational inequality problem over the fixed point set of a nonexpansive mapping. The strong convergence of the algorithm is established under strongly monotone and Lipschitz continuous assumptions imposed on the cost mapping. As an application, we also apply and analyze our algorithm to solve a convex minimization problem of the sum of two convex functions.
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页码：743 / 753
页数：10
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