Tran Van Su, Some properties of second-order contingent epiderivatives and its applications to vector equilibrium problems, Vol. 2017 (2017), Article ID 23, pp. 1-19

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DOI: 10.23952/cot.2017.23

 

Received February 2, 2017; Accepted May 17, 2017; Published May 23, 2017

 

Abstract. In this paper, we study some properties of the contingent epiderivative of a single-valued map from a variational perspective. As an application, we obtain second-order efficiency conditions for weakly efficient solutions of vector equilibrium problems with constraints. Several examples are also provided to illustrate our main results.

 

How to Cite this Article:

Tran Van Su, Some properties of second-order contingent epiderivatives and its applications to vector equilibrium problems, Communications in Optimization Theory, Vol. 2017 (2017), Article ID 23, pp. 1-19.