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2013 Sharp Efficiency for Vector Equilibrium Problems on Banach Spaces
Si-Huan Li, Qiang Wang, Shu Xu, Jun-Xiang Wang
Abstr. Appl. Anal. 2013(SI23): 1-6 (2013). DOI: 10.1155/2013/128178


The concept of sharp efficient solution for vector equilibrium problems on Banach spaces is proposed. Moreover, the Fermat rules for local efficient solutions of vector equilibrium problems are extended to the sharp efficient solutions by means of the Clarke generalized differentiation and the normal cone. As applications, some necessary optimality conditions and sufficient optimality conditions for local sharp efficient solutions of a vector optimization problem with an abstract constraint and a vector variational inequality are obtained, respectively.


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Si-Huan Li. Qiang Wang. Shu Xu. Jun-Xiang Wang. "Sharp Efficiency for Vector Equilibrium Problems on Banach Spaces." Abstr. Appl. Anal. 2013 (SI23) 1 - 6, 2013.


Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 1275.49042
MathSciNet: MR3039127
Digital Object Identifier: 10.1155/2013/128178

Rights: Copyright © 2013 Hindawi

Vol.2013 • No. SI23 • 2013
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