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http://dx.doi.org/10.4134/JKMS.2003.40.2.287

ON SECOND ORDER NECESSARY OPTIMALITY CONDITIONS FOR VECTOR OPTIMIZATION PROBLEMS  

Lee, Gue-Myung (Department of Applied Mathematics Pukyung National University)
Kim, Moon-Hee (Department of Applied Mathematics Pukyung National University)
Publication Information
Journal of the Korean Mathematical Society / v.40, no.2, 2003 , pp. 287-305 More about this Journal
Abstract
Second order necessary optimality condition for properly efficient solutions of a twice differentiable vector optimization problem is given. We obtain a nonsmooth version of the second order necessary optimality condition for properly efficient solutions of a nondifferentiable vector optimization problem. Furthermore, we prove a second order necessary optimality condition for weakly efficient solutions of a nondifferentiable vector optimization problem.
Keywords
vector optimization problem; properly efficient solutions; second order necessary optimality conditions; second order contingent set; second order adjacent set; singular approximate subdifferential; (Mordukhovich) normal cone;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
Times Cited By Web Of Science : 4  (Related Records In Web of Science)
Times Cited By SCOPUS : 1
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