Technical note discontinuous implicit quasivariational inequalities in normed spaces

被引:1
|
作者
Huang, S. [1 ]
Yao, J. C.
机构
[1] Natl Donghwa Univ, Dept Appl Math, Hwa Lien, Taiwan
[2] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan
关键词
implicit quasivariational inequalities; affine hulls; generalized quasivariational inequalities; Hausdorff lower semicontinuity;
D O I
10.1007/s10957-006-9046-3
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 consider an implicit quasivariational inequality without continuity assumptions in normed spaces. The main result (Theorem 2.1) provides an infinite-dimensional version of Theorem 3.2 in Ref. 1. To achieve such a goal, we employ Theorem 3.2 in Ref. 1 and the technique of Cubiotti in Ref. 2. In particular, Theorem 3.1 covers a recent result of Cubiotti (Theorem 3.1 of Ref. 2) as a special case.
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页码:219 / 225
页数:7
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