Upper semicontinuity result for the solution mapping of a mixed parametric generalized vector quasiequilibrium problem with moving cones

被引：11

作者：

Le Anh Tuan ^{[2
]}

Lee, Gue Myung ^{[1
]}

Pham Huu Sach ^{[3
]}

机构：

[1] Pukyong Natl Univ, Div Math Sci, Pusan 608737, South Korea

[2] Ninh Thuan Coll Pedag, Ninh Thuan, Vietnam

[3] Hanoi Inst Math, Hanoi, Vietnam

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2010年 / 47卷 / 04期

关键词：

Equilibrium problem; Moving cone; Openness property; Closedness property; Diagonal quasiconvexity; VARIATIONAL INCLUSION PROBLEMS; SOLUTION SETS; SOLUTION SENSITIVITY; HOLDER CONTINUITY; INEQUALITIES; EXISTENCE; STABILITY;

D O I：

10.1007/s10898-009-9483-2

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：

In this paper, we give sufficient conditions for the upper semicontinuity property of the solution mapping of a parametric generalized vector quasiequilibrium problem with mixed relations and moving cones. The main result is proven under the assumption that moving cones have local openness/local closedness properties and set-valued maps are cone-semicontinuous in a sense weaker than the usual sense of semicontinuity. The nonemptiness and the compactness of the solution set are also investigated.

引用

页码：639 / 660

页数：22

共 42 条

[1] On the stability of the solution sets of general multivalued vector quasiequilibrium problems [J].