Higher-order optimality conditions for weakly efficient solutions in nonconvex set-valued optimization
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Authors
Wang, L.
Li, S.
Teo, Kok Lay
Date
2010Type
Journal Article
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Wang, Q.L. and Li, S.J. and Teo, K.L. 2010. Higher-order optimality conditions for weakly efficient solutions in nonconvex set-valued optimization. Optimization Letters. 4 (3): pp. 425-437.
Source Title
Optimization Letters
ISSN
School
Department of Mathematics and Statistics
Remarks
The original publication is available at: http://www.springerlink.com
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Abstract
In this paper, generalized higher-order contingent (adjacent) derivatives of set-valued maps are introduced and some of their properties are discussed. Under no any convexity assumptions, necessary and sufficient optimality conditions are obtained for weakly efficient solutions of set-valued optimization problems by employing the generalized higher-order derivatives.
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