Inertial projection and contraction algorithms for variational inequalities

被引：0
作者：
Q. L. Dong
Y. J. Cho
L. L. Zhong
Th. M. Rassias
机构：
[1] Civil Aviation University of China,College of Science
[2] Civil Aviation University of China,Tianjin Key Lab for Advanced Signal Processing
[3] Gyeongsang National University,Department of Mathematics Education and RINS
[4] China Medical University,Center for General Education
[5] National Technical University of Athens,Department of Mathematics
来源：
Journal of Global Optimization | 2018年 / 70卷
关键词：
Inertial type algorithm; Extragradient algorithm; Variational inequality; Projection and contraction algorithm; 90C47; 49J35;
D O I：
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中图分类号：
学科分类号：
摘要：
In this article, we introduce an inertial projection and contraction algorithm by combining inertial type algorithms with the projection and contraction algorithm for solving a variational inequality in a Hilbert space H. In addition, we propose a modified version of our algorithm to find a common element of the set of solutions of a variational inequality and the set of fixed points of a nonexpansive mapping in H. We establish weak convergence theorems for both proposed algorithms. Finally, we give the numerical experiments to show the efficiency and advantage of the inertial projection and contraction algorithm.
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页码：687 / 704
页数：17
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