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The Ekeland variational principle for set-valued maps involving coderivatives

✍ Scribed by Truong Xuan Duc Ha

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
237 KB
Volume
286
Category
Article
ISSN
0022-247X

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✦ Synopsis

In this paper we use the FrΓ©chet, Clarke, and Mordukhovich coderivatives to obtain variants of the Ekeland variational principle for a set-valued map F and establish optimality conditions for setvalued 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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