Convergence theorem for solving a new concept of the split variational inequality problems and application

被引：5

作者：

Sripattanet, Anchalee ^{[1
]}

Kangtunyakarn, Atid ^{[1
]}

机构：

[1] King Mongkuts Inst Technol Ladkrabang, Fac Sci, Dept Math, Bangkok 10520, Thailand

来源：

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2020年 / 114卷 / 04期

关键词：

Variational inequality; The intermixed algorithm; Strong convergence theorem; Fixed point; VISCOSITY APPROXIMATION METHODS; EXTRAGRADIENT METHOD; GENERAL SYSTEM; FIXED-POINTS; NONEXPANSIVE-MAPPINGS; ITERATIVE METHODS; FEASIBILITY;

D O I：

10.1007/s13398-020-00909-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we propose the split of modified variational inequality problems (SMVIP), by using the concept of the modified generalized system of variational inequalities (MGSV). Then, we prove the strong convergence theorem for solving fixed point problems of nonlinear mappings and two variational inequality problems and solving the SMVIP. Applying our main result, we prove strong convergence theorems of the split minimization problem and the split variational inequality problem. In support of our main result, a numerical example is also presented.

引用

页数：33

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