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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.