On Minimax Inequality and Generalized Quasi–Variational Inequality in H-Spaces
نویسندگان
چکیده
منابع مشابه
On Minimax Inequality and Generalized Quasi–variational Inequality in H-spaces
In this paper, we give a new minimax theorem and two new existence theorems of solutions for generalized quasi–variational inequalities in H-spaces. Our results improve and develop some famous results.
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Suppose that X is a nonempty subset of a metric space E and Y is a nonempty subset of a topological vector space F. Let g : X → Y and ψ : X ×Y →R be two functions and let S : X → 2Y and T : Y → 2F be two maps. Then the generalized g-quasivariational inequality problem (GgQVI) is to find a point x ∈ X and a point f ∈ T(g(x)) such that g(x) ∈ S(x) and supy∈S(x){Re〈 f , y − g(x)〉 + ψ(x, y)} = ψ(x,...
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ژورنال
عنوان ژورنال: Journal of Applied Analysis
سال: 1999
ISSN: 1425-6908,1869-6082
DOI: 10.1515/jaa.1999.59