A system of nonlinear set valued variational inclusions

被引：4

作者：

Tang, Yong-Kun ^{[1
]}

Chang, Shih-sen ^{[1
]}

Salahuddin, Salahuddin ^{[2
]}

机构：

[1] Yunnan Univ Finance & Econ, Coll Stat & Math, Kunming 650221, Yunnan, Peoples R China

[2] Jazan Univ, Dept Math, Jazan, Saudi Arabia

来源：

SPRINGERPLUS | 2014年 / 3卷

基金：

中国国家自然科学基金;

关键词：

System of nonlinear set valued variational inclusions; Lipschitz continuity; Resolvent operators; Iterative sequences; Hilbert spaces; GENERALIZED SYSTEM; INEQUALITIES; ALGORITHMS;

D O I：

10.1186/2193-1801-3-318

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we studied the existence theorems and techniques for finding the solutions of a system of nonlinear set valued variational inclusions in Hilbert spaces. To overcome the difficulties, due to the presence of a proper convex lower semicontinuous function phi and a mapping g which appeared in the considered problems, we have used the resolvent operator technique to suggest an iterative algorithm to compute approximate solutions of the system of nonlinear set valued variational inclusions. The convergence of the iterative sequences generated by algorithm is also proved.

引用

页码：1 / 10

页数：10

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