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

Generalized bi-quasi-variational inequalities for quasi-pseudo-monotone type I operators on... 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

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

Positivity , Volume 12 (3) – Mar 1, 2008

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References (9)

Publisher
Springer Journals
Copyright
Copyright © 2008 by Springer Science + Business Media B.V.
Subject
Mathematics; Econometrics; Calculus of Variations and Optimal Control; Optimization; Potential Theory; Operator Theory; Fourier Analysis
ISSN
1385-1292
eISSN
1572-9281
DOI
10.1007/s11117-007-2141-3
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

PositivitySpringer Journals

Published: Mar 1, 2008

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