The variational inequality problem in Hilbert spaces endowed with graphs

被引：7
|
作者：
Kangtunyakarn, Atid [1 ]
机构：
[1] King Mongkuts Inst Technol, Fac Sci, Dept Math, Bangkok 10520, Thailand
来源：
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2019年 / 22卷 / 01期
关键词：
G-variational inequality problem; G-inverse strongly monotone mapping;
D O I：
10.1007/s11784-019-0736-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, using the concept of graph theory, we introduce the concept of G-variational inequality problems which is different from general variational inequality problems in a Hilbert space and use the new techniques to prove convergence theory to solve such problem and fixed point problem of G-nonexpansive mapping in a Hilbert spaces endowed with graphs. We also provide numerical examples to support our main results.
引用
收藏
页数：16
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