EXISTENCE RESULTS FOR MINTY VARIATIONAL INEQUALITIES WITH SURJECTIVITY CONSEQUENCES IN HAUSDORFF TOPOLOGICAL VECTOR SPACES

被引：0

作者：

Shafie, Allahkaram ^{[1
]}

Jafari, Somaye ^{[1
]}

Farajzadeh, Ali ^{[1
]}

机构：

[1] Razi Univ, Dept Math, Kermanshah 67149, Iran

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2017年 / 18卷 / 04期

关键词：

Monotone mapping; Minty variational inequality; KKM condition; surjective mapping; EQUILIBRIUM PROBLEMS; OPERATORS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present existence results for the Minty variational inequality associated to a monotone operator with noncompact domain. As a consequence, we deduce the surjectivity of some classes of monotone set-valued operators in Hausdorff topological vector spaces. Using Ky Fan minimax inequality, sufficient optimally conditions for solvability of Minty variational inequalities and consequently, monotonicity results of the involved operator are established.

引用

页码：685 / +

页数：12

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