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 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.
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Chowdhury, M.S.R., Tan, KK. Generalized bi-quasi-variational inequalities for quasi-pseudo-monotone type II operators on compact sets. centr.eur.j.math. 8, 158–169 (2010). https://doi.org/10.2478/s11533-009-0066-8
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DOI: https://doi.org/10.2478/s11533-009-0066-8