Optimality conditions in set-valued optimization using approximations as generalized derivatives

• Autorzy: Gadhi Nazih Abderrazzak , Ichatouhane Aissam

Identyfikatory

DOI

10.2478/candc-2022-0023

• Języki publikacji: EN

Abstrakty

EN

The set criterion is an appropriate defining approach regarding the solutions for the set-valued optimization problems. By using approximations as generalized derivatives of set-valued mappings, we establish necessary optimality conditions for a constrained set-valued optimization problem in the sense of set optimization in terms of asymptotical pointwise compact approximations. Sufficient optimality conditions are then obtained through first-order strong approximations of data set-valued mappings.

Słowa kluczowe

EN

approximations; set-valued optimization; local weak l-minimal solutions; optimality conditions

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2022
• Tom: Vol. 51, No. 4
• Strony: 425--444
• Opis fizyczny: Bibliogr. 19 poz.

Twórcy

autor

Gadhi Nazih Abderrazzak

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

autor

Ichatouhane Aissam

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

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