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Existence Theorem for Vector Quasi-Variational-like InequalitiesKeywords: Set-valued mapping , vector quasi-variational-like inequality , maximal element theorem , locally convex Hausdorff topological space , upper semi-continuous , open lower sections , 0-C(x)-diagonally convex , L-eta-condition Abstract: In this paper, using the maximal element theorem, we prove some existence theorem for vector quasi-variational-like inequalities without monotonicity and without compactness.
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