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July  2013, 9(3): 621-630. doi: 10.3934/jimo.2013.9.621

## Generalized weak sharp minima of variational inequality problems with functional constraints

 1 School of Economic Mathematics, Southwestern University of Finance and Economics, Chengdu, China 2 Rear services office, Chongqing Police College, Chongqing, China 3 College of Mathematics and Statistics, Chongqing University, Chongqing, 401331 4 School of Economics and Business Administration, Chongqing University, Chongqing, China

Received  April 2012 Revised  March 2013 Published  April 2013

In this paper, the notion of generalized weak sharp minima is introduced for variational inequality problems with functional constraints in finite-dimensional spaces by virtue of a dual gap function. Some equivalent and necessary conditions for the solution set of the variational inequality problems to be a set of generalized weak sharp minima are obtained.
Citation: Wenyan Zhang, Shu Xu, Shengji Li, Xuexiang Huang. Generalized weak sharp minima of variational inequality problems with functional constraints. Journal of Industrial & Management Optimization, 2013, 9 (3) : 621-630. doi: 10.3934/jimo.2013.9.621
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