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Stefan Hamann, Minimality conditions for convex composite functions and efficiency conditions in vector optimization

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DOI: 10.23952/asvao.1.2019.3.03
Volume 1, Issue 3, 31 December 2019, Pages 221-229

 

Abstract. Starting from a sufficient minimality condition for convex composite functions using the notion of sharp minima, we formulate equivalent conditions and have a look at the continuous case. By using these results in scalar optimization, we obtain a sufficient condition for strictly efficient points as well as for superefficient points in vector optimization. Moreover, a necessary condition for Henig properly efficient points is given.

 

How to Cite this Article:
Stefan Hamann, Minimality conditions for convex composite functions and efficiency conditions in vector optimization, Appl. Set-Valued Anal. Optim. 1 (2019), 221-229.