Existence of solutions and error bound for vector variational inequalities in Banach spaces

被引：10

作者：

Yao, Jen-Chih ^{[1
,2
]}

Zheng, Xi Yin ^{[3
]}

机构：

[1] China Med Univ, Ctr Gen Educ, Taichung, Taiwan

[2] Kaohsiung Med Univ, Res Ctr Nonlinear Anal & Optimizat, Kaohsiung, Taiwan

[3] Yunnan Univ, Dept Math, Kunming, Yunnan, Peoples R China

来源：

OPTIMIZATION | 2018年 / 67卷 / 09期

关键词：

Vector variational inequality; fixed point; gap function; error bound; GAP FUNCTIONS; SENSITIVITY PROPERTIES;

D O I：

10.1080/02331934.2018.1429433

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

Without monotonicity and convexity assumptions, we provide the existence results of solutions for weak vector variational inequalities and vector variational inequalities under some kinds of continuity assumptions. We give a gap function for a weak vector variational inequality and present a sufficient condition to guarantee that the vector variational inequality has error bound property with respect to such a gap function.

引用

页码：1333 / 1344

页数：12

共 19 条

[1]

[Anonymous], 1976, Optimisation: Methodes Numeriques

[2] Gap functions for vector variational inequalities [J].