Necessary optimality conditions for a semivectorial bilevel problem under a partial calmness condition

• Published in: Optimization Vol. 70; no. 9; pp. 1937 - 1957
• Main Authors: Dempe, Stephan, Abderrazzak Gadhi, Nazih, El idrissi, Mohammed, Hamdaoui, Khadija
• Format: Journal Article
• Language: English
• Published: Philadelphia Taylor & Francis 02.09.2021; Taylor & Francis LLC
• Subjects: Cones; Constraining; limiting normal cone; limiting subdifferential; optimality condition; Optimization; Partial calmness; Primary 90C29; Secondary 49K99; semivectorial bilevel program

In this paper, we are concerned with a semivectorial bilevel optimization problem Using a partial calmness suitable for bilevel semivectorial problems, we formulate its necessary optimality conditions. Our approach consists of reformulating our problem into a one level optimization problem using suc...