CONTRACTIBILITY OF THE SOLUTION SETS FOR SEMI-INFINITE SET OPTIMIZATION PROBLEMS

被引：0

作者：

Ansari, Qamrul hasan ^{[1
,2
]}

Sharma, Pradeep kumar ^{[3
]}

Yaot, Jen-chih ^{[4
,5
,6
]}

机构：

[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, India

[2] Chongqing Univ Technol, Coll Sci, Chongqing 400054, Peoples R China

[3] Univ Delhi, Dept Math, South Campus,Benito Juarez Rd, New Delhi 110021, India

[4] China Med Univ, China Med Univ Hosp, Res Ctr Interneural Comp, Taichung 40447, Taiwan

[5] Acad Romanian Scientists, Bucharest 50044, Romania

[6] Natl Sun Yat sen Univ, Dept Appl Math, Kaohsiung, Taiwan

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2024年 / 25卷 / 02期

关键词：

Set Optimization; oriented distance function; arcwise quasi-connectedness; contractibility; uncertain vector-valued games; ORIENTED DISTANCE; CONNECTEDNESS; SCALARIZATION; SPACE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the contractibility of solution sets for semi-infinite set optimization problems. We establish the starshapedness of the image of constraint map and upper semi-continuity of the constraint set-valued map. Further, by using these results we derive the contractibility of efficient, strong efficient and weak efficient solution sets for semi-infinite set optimization problems via generalized oriented distance function. An application to uncertain vector-valued games is given at the end.

引用

页码：429 / 443

页数：15

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