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Weak quasi-invexity of nonsmooth functions

โœ Scribed by Liya Fan

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
212 KB
Volume
21
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

The notions of quasi-1 convexity, weak quasi-convexity and weak quasi-invexity are introduced. The relations among strict quasi-preinvexity, weak quasi-invexity and pseudo-invexity for a nonsmooth function are studied by means of the properties of the Clarke's generalized subdifferential. As an application of the main results in this work, the relations among quasi-1 convexity, strict quasi-convexity, weak quasi-convexity and pseudo-convexity are established.

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