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http://hdl.handle.net/10397/6527
| Title: | Optimality conditions for approximate solutions in multiobjective optimization problems | Authors: | Gao, Y Yang, X Lee, HWJ |
Issue Date: | 27-Oct-2010 | Source: | Journal of inequalities and applications, 27 Oct. 2010, v. 2010, 620928, p. 1-17 | Abstract: | We study first- and second-order necessary and sufficient optimality conditions for approximate (weakly, properly) efficient solutions of multiobjective optimization problems. Here, tangent cone, -normal cone, cones of feasible directions, second-order tangent set, asymptotic second-order cone, and Hadamard upper (lower) directional derivatives are used in the characterizations. The results are first presented in convex cases and then generalized to nonconvex cases by employing local concepts. | Keywords: | Vector optimization Cone characterizations Variational principle Epsilon-efficiency Points Proper |
Publisher: | Springer | Journal: | Journal of inequalities and applications | ISSN: | 1029-242X | DOI: | 10.1155/2010/620928 | Rights: | Copyright © 2010 Ying Gao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. |
| Appears in Collections: | Journal/Magazine Article |
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