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.
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页码：429 / 443
页数：15
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