- Free Articles
-
Reactive Scheduling of Batch Processes
Encyclopedia of Optimization
-
Variational methods in shape analysis
Handbook of Mathematical Methods in Imaging
-
History of Geomathematics: Navigation on Sea
Handbook of Geomathematics
-
Geomagnetic Field: Satellite Data
Handbook of Geomathematics
-
From Omnipotent to Omnipresent Maps
Handbook of Geomathematics
- More Free Articles
Mathematics and Statistics
>
Encyclopedia of Optimization
>
Vector Variational Inequalities
This is the free portion of the full article.
The full article
is available to licensed users only.
How do I get access?
Vector Variational Inequalities
Article Outline
References
The vector variational inequality is a mathematics model which is designed to account for equilibrium situations where the multicriteria consideration is important. The concept of a vector variational inequality was introduced in [5]. In recent years, the vector variational inequality problem has received extensive attentions and found many applications in vector optimization and vector network equilibrium problems. The theory of vector variational inequalities has been summarized in the edited book [7] and one chapter of the monograph [1].
Let X and Y be Hausdorff topological vector spaces. By L(X, Y), we denote the set of all linear continuous functions from X into Y. For l∈L(X,Y), the value of linear function l at x is denoted by ⟨l,x⟩. Let C⊂Y be a nonempty, pointed, closed and convex cone with intC≠∅. For convenience, we will denote C\{0} and intC by C o and 
respectively. Then (Y,C) is an ordered Hausdorff topological
respectively. Then (Y,C) is an ordered Hausdorff topological