Article ID Journal Published Year Pages File Type
469943 Computers & Mathematics with Applications 2008 8 Pages PDF
Abstract

In this paper we study necessary and sufficient optimality conditions for a set-valued optimization problem. Convexity of the multifunction and the domain is not required. A definition of KK-approximating multifunction is introduced. This multifunction is the differentiability notion applied to the problem. A characterization of weak minimizers is obtained for invex and generalized KK-convexlike multifunctions using the Lagrange multiplier rule.

Related Topics
Physical Sciences and Engineering Computer Science Computer Science (General)
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