Well-Posedness of Generalized Vector Quasivariational Inequality Problems
نویسندگان
چکیده
منابع مشابه
Well-Posedness of Generalized Vector Quasivariational Inequality Problems
We introduce several types of the Levitin-Polyak well-posedness for a generalized vector quasivariational inequality problem with both abstract set constraints and functional constraints. Criteria and characterizations of these types of the Levitin-Polyak well-posednesses with or without gap functions of generalized vector quasivariational inequality problem are given. The results in this paper...
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We introduce a class of generalized vector quasivariational-like inequality problems in Banach spaces. We derive some new existence results by using KKM-Fan theorem and an equivalent fixed point theorem. As an application of our results, we have obtained as special cases the existence results for vector quasi-equilibrium problems, generalized vector quasivariational inequality and vector quasi-...
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Copyright q 2010 J. Zhang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We introduce several types of Levtin-Polyak well-posedness for a vector quasivariational inequality with functional constraints. Necessary and/or suf...
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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 Mathematics
سال: 2012
ISSN: 1110-757X,1687-0042
DOI: 10.1155/2012/582792