Optimality conditions for a set-valued optimization problem in terms of approximations

• Autorzy: Gadhi Nazih Abderrazzak , Rahou Fatima Zahra , El Idrissi Mohammed
• Języki publikacji: EN

Abstrakty

EN

In this paper, we are concerned with a constrained set-valued optimization problem (P). Using support functions, we give necessary optimality conditions in terms of Karush-Kuhn-Tucker (KKT) multipliers and approximations. Under generalized convex- ity, we investigate sufficient optimality conditions. An example illustrating our findings is also given.

Słowa kluczowe

EN

approximation; weak Paretominimal point; A-pseudo-convexity; A-quasi-invexity

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2019
• Tom: Vol. 48, No. 3
• Strony: 439--452
• Opis fizyczny: Bibliogr. 28 poz.

Twórcy

autor

Gadhi Nazih Abderrazzak

• LAMA, Sidi Mohamed Ben Abdellah University, Dhar El Mahraz, Department of Mathematics, Fes, Morocco

autor

Rahou Fatima Zahra

• LAMA, Sidi Mohamed Ben Abdellah University, Dhar El Mahraz, Department of Mathematics, Fes, Morocco

autor

El Idrissi Mohammed

• LAMA, Sidi Mohamed Ben Abdellah University, Dhar El Mahraz, Department of Mathematics, Fes, Morocco

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).