The Ekeland variational principle for set-valued maps involving coderivatives |
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Authors: | Truong Xuan Duc Ha |
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Institution: | Institute of Mathematics, 18 Hoang Quoc Viet Road, 10307 Hanoi, Viet Nam |
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Abstract: | In this paper we use the Fréchet, Clarke, and Mordukhovich coderivatives to obtain variants of the Ekeland variational principle for a set-valued map F and establish optimality conditions for set-valued optimization problems. Our technique is based on scalarization with the help of a marginal function associated with F and estimates of subdifferentials of this function in terms of coderivatives of F. |
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Keywords: | Ekeland's variational principle Set-valued map Coderivative Marginal function Optimality condition |
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