A topological approach for vector quasi-variational inequalities with set-valued functions

被引：0

作者：

Sonia ^{[1
]}

Sarma, Ratna Dev ^{[2
]}

机构：

[1] Univ Delhi, Janki Devi Mem Coll, Dept Math, Sir Ganga Ram Hosp Marg, New Delhi 110060, Delhi, India

[2] Univ Delhi, Rajdhani Coll, Dept Math, Mahatma Gandhi Marg, New Delhi 110015, Delhi, India

来源：

COMPUTATIONAL MANAGEMENT SCIENCE | 2023年 / 20卷 / 01期

关键词：

Generalized vector quasi-variational inequality; Fan-KKM lemma; Admissibility; Set-valued mapping; Topological vector space; EXISTENCE;

D O I：

10.1007/s10287-023-00457-z

中图分类号：

O1 [数学]; C [社会科学总论];

学科分类号：

03 ; 0303 ; 0701 ; 070101 ;

摘要：

The focus of this paper is to employ a new topological condition, based on admissibility of the function space topology, to provide existence results for a generalized vector quasi-variational inequality problem and its stronger form as well. The inequality problems involve a set-valued function, and the existence results are proved without using any monotonicity or convexity assumptions on the functions. Further, the solution sets of the inequality problems are shown to be closed and compact.

引用

页数：13

共 34 条

[1]

[Anonymous], 2003, Variational Methods in Partially Ordered Spaces

[2] Existence of solutions of vector variational inequalities and vector complementarity problems [J].