Generalized bi-quasi-variational inequalities for quasi-pseudo-monotone type I operators on compact sets

被引：0

作者：

Mohammad S. R. Chowdhury

Kok-Keong Tan

机构：

[1] Lahore University of Management Sciences (LUMS),Department of Mathematics

[2] Dalhousie University Halifax,Department of Mathematics & Statistics

来源：

Positivity | 2008年 / 12卷

关键词：

Generalized bi-quasi-variational inequalities; quasi-pseudomonotone type I operators; locally convex hausdorff topological vector spaces;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, the authors prove some existence results of solutions for a new class of generalized bi-quasi-variational inequalities (GBQVI) for quasi-pseudo-monotone type I operators defined on compact sets in locally convex Hausdorff topological vector spaces. In obtaining these results on GBQVI for quasi-pseudo-monotone type I operators, we shall use Chowdhury and Tan’s generalized version [3] of Ky Fan’s minimax inequality [7] as the main tool.

引用

页码：511 / 523

页数：12

共 49 条

[21] Non-compact generalized variational inequalities for quasi-monotone and hemi-continuous operators with applications
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E. Tarafdar
H. B. Thompson
Acta Mathematica Hungarica, 2003, 99 : 105 - 122
[22] Non-compact generalized variational inequalities for quasi-monotone and hemi-continuous operators with applications
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Tarafdar, E
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[23] Application of upper hemi-continuous operators on generalized bi-quasi-variational inequalities in locally convex topological vector spaces
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[24] Variational inequalities for generalized quasi-monotone maps
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[25] Applications of pseudo-monotone operators with some kind of upper semicontinuity in generalized quasi-variational inequalitles on non-compact sets
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PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1998, 126 (10) : 2957 - 2968
[26] Application of Upper Hemi-Continuous Operators on Generalized Bi-quasi-variational Inequalities in Locally Convex Topological Vector Spaces
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Positivity, 1999, 3 (4) : 333 - 344
[27] Generalized quasi-variational inequalities for upper semi-continuous operators on non-compact sets
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NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 30 (08) : 5389 - 5394
[28] Generalized variational and quasi-variational inequalities with discontinuous operators
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JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 214 (01) : 245 - 263
[29] Generalized variational-like inequalities for pseudo-monotone type III operators
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Tan, Kok-Keong
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2008, 6 (04): : 526 - 536
[30] Generalized Quasi-Variational Inequalities on Paracompact Sets
Zhang Changbin Li Dai (Department of Math. Yunyang Teachers College
Chinese Quarterly Journal of Mathematics, 1998, (03) : 81 - 85

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