First and Second Order Necessary and Sufficient Optimality Conditions of Fritz John Type for Vector Problems over Cones

Published 19 May 2024 in math.OC | (2405.11593v1)

Abstract: In this paper, we obtain a new proof of Fritz John necessary optimality conditions for vector problems applying Kakutani fixed point theorem and Hadamard directional derivative. We also derive a similar proof of second-order Fritz John necessary optimality conditions. Sufficient conditions for weak global efficiency with generalized convex functions and local efficiency are provided.

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Authors (1)

Vsevolod I. Ivanov

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