On the existence of solutions of quasivariational inclusion problems

被引：69
|
作者：
Tan, NX
机构：
[1] Inst Math, Hanoi 10000, Vietnam
[2] Humboldt Univ, Inst Math, Berlin, Germany
[3] Univ Cologne, Inst Math, D-5000 Cologne 41, Germany
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2004年 / 123卷 / 03期
关键词：
upper quasivariational inclusions; lower quasivariational inclusions; alpha quasioptimization problems; vector optimization problem; quasiequilibrium problems; upper and lower C-quasiconvex multivalued mappings; upper and lower C-continuous multivalued mappings;
D O I：
10.1007/s10957-004-5726-z
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：
Quasivariational inclusion problems are formulated and sufficient conditions on the existence of solutions are shown. As special cases, we obtain several results on the existence of solutions of general vector ideal, proper, Pareto, weak quasioptimization problems, quasivariational inequalities, and vector quasiequilibrium problems. Further, we prove theorems on the existence for solutions of systems of these inclusions. As a corollary, we obtain an ideal minimax theorem concerning vector functions.
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页码：619 / 638
页数：20
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