On vector optimization problems and vector variational inequalities using convexificators. (2nd November 2017)

• Record Type: Journal Article
• Authors: Laha, Vivek; Mishra, S. K.
• Is Part Of: Optimization. Volume 66:Number 11(2017)
• Page Start: 1837
• Page End: 1850
• Publication Date: 2017-11-02
• Subjects: Vector variational inequalities -- vector optimization problems -- vector minimal points -- weak vector minimal points -- convexificators -- convexity -- monotonicity; Mathematical optimization -- Periodicals; 519.7
• DOI: 10.1080/02331934.2016.1250268
• Languages: English
• ISSNs: 0233-1934

Abstract

Abstract : In this paper, we establish some results which exhibit an application of convexificators in vector optimization problems (VOPs) and vector variational inequaities involving locally Lipschitz functions. We formulate vector variational inequalities of Stampacchia and Minty type in terms of convexificators and use these vector variational inequalities as a tool to find out necessary and sufficient conditions for a point to be a vector minimal point of the VOP. We also consider the corresponding weak versions of the vector variational inequalities and establish several results to find out weak vector minimal points.