Gap Functions and Error Bounds for Set-Valued Vector Quasi Variational Inequality Problems
نویسندگان
چکیده
منابع مشابه
Error bounds of regularized gap functions for weak vector variational inequality problems
where C ⊆ Rm is a closed convex and pointed cone with nonempty interior intC. (WVVI) was firstly introduced by Giannessi []. It has been shown to have many applications in vector optimization problems and traffic equilibrium problems (e.g., [, ]). Error bounds are to depict the distance from a feasible solution to the solution set, and have played an important role not only in sensitivity an...
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Throughout this paper, let Z, E, and F be topological vector spaces, let X ⊆ E and Y ⊆ F be nonempty, closed, and convex subsets. Let D : X → 2X , T : X → 2Y and Ψ : X ×Y × X → 2Z be set-valued mappings, and let C : X → 2Z be a set-valued mapping such that C(x) is a closed pointed and convex cone with intC(x) = ∅ for each x ∈ X , where intC(x) denotes the interior of the set C(x). Then the gene...
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ژورنال
عنوان ژورنال: Applied Mathematics
سال: 2017
ISSN: 2152-7385,2152-7393
DOI: 10.4236/am.2017.812135