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

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Chowdhury M., Tan K.-K.

Open Mathematics

2010

tom 8

nr 1

158-169

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 II and strongly quasi-pseudo-monotone type II operators defined on compact sets in locally convex Hausdorff topological vector spaces. In obtaining these results on GBQVI for quasi-pseudo-monotone type II and strongly quasi-pseudo-monotone type II operators, we shall use Chowdhury and Tan’s generalized version [3] of Ky Fan’s minimax inequality [7] as the main tool.

Ograniczanie wyników

1 Open Mathematics

1 Chowdhury M.

1 Tan K.-K.

1 2010

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