A New Gap Function for Vector Variational Inequalities with an Application

A New Gap Function for Vector Variational Inequalities with an Application

We consider a vector variational inequality in a finite-dimensional space. A new gap function is proposed, and an equivalent optimization problem for the vector variational inequality is also provided. Under some suitable conditions, we prove that the gap function is directionally differentiable and...

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Bibliographic Details
Main Authors: Hui-qiang Ma, Nan-jing Huang, Meng Wu, Donal O'Regan
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/423040
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