Existence theorems of generalized quasi-variational-like inequalities for pseudo-monotone type II operators

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Existence theorems of generalized quasi-variational-like inequalities for pseudo-monotone type II operators.pdf (365.13 KB)
Date
2014
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Journal of Inequalities and Applications
Abstract
In this paper, we prove the existence results of solutions for a new class of generalized quasi-variational-like inequalities (GQVLI) for pseudo-monotone type II operators defined on compact sets in locally convex Hausdorff topological vector spaces. In obtaining our results on GQVLI for pseudo-monotone type II operators, we use Chowdhury and Tan’s generalized version (Chowdhury and Cho in J. Inequal. Appl. 2012:79, 2012) of Ky Fan’s minimax inequality (Fan in Inequalities, vol. III, pp.103-113, 1972) as the main tool.
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Keywords
generalized quasi-variational-like inequalities, pseudo-monotone type II operators, locally convex Hausdorff topological vector spaces
Citation
29. Chowdhury, M. S., Abdou, A. A., & Cho, Y. J. (2014). Existence theorems of generalized quasi-variational-like inequalities for pseudo-monotone type II operators. Journal of Inequalities and Applications, 2014(1), 449.
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https://escholar.umt.edu.pk/handle/123456789/1430
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Department of Mathematics