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.
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页码：639 / 660
页数：22
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