New characterizations of weak sharp minima

• DOI: 10.1007/s11590-011-0369-0
• Publication Date: 2011-07-20T13:08:14Z
• Authors: Jinchuan Zhou; Changyu Wang
• Keywords: 0211 other engineering and technologies; 02 engineering and technology

In this paper, we study the concept of weak sharp minima by using conjugate functions. Not only some well-known results can be obtained in this unified way, but also new characterizations are developed. Finally, under rather weak conditions, we establish the finite termination property for convex programming and variational inequality problem, respectively.