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Kim, Do Sang; Van Tuyen, Nguyen

A note on second-order Karush-Kuhn-Tucker necessary optimality conditions for smooth vector optimization problems. (English) Zbl 1401.90207

RAIRO, Oper. Res. 52, No. 2, 567-575 (2018).
Summary: The aim of this note is to present some second-order Karush-Kuhn-Tucker necessary optimality conditions for vector optimization problems, which modify the incorrect result in [M. M. Rizvi and M. Nasser, J. Indian Inst. Sci. 86, No. 3, 279–286 (2006; Zbl 1226.90097), Theorem 3.2].

Cited in 3 Documents

MSC:

90C29 Multi-objective and goal programming
90C46 Optimality conditions and duality in mathematical programming
49K30 Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.)

Keywords:

second-order regularity conditions; second-order Karush–Kuhn–Tucker optimality conditions; efficient solution; geoffrion properly efficient solution

Citations:

Zbl 1226.90097
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Full Text: DOI

References:

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