Browsing by Author "Afrah AN Abdou"

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    Existence theorems of generalized quasi-variational-like inequalities for pseudo-monotone type II operators
    (Journal of Inequalities and Applications, 2014) S R Chowdhury, Mohammad; Afrah AN Abdou; Yeol Je Cho
    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.