Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/6527
Title: Optimality conditions for approximate solutions in multiobjective optimization problems
Authors: Gao, Y
Yang, X
Lee, HWJ 
Keywords: Vector optimization
Cone characterizations
Variational principle
Epsilon-efficiency
Points
Proper
Issue Date: 27-Oct-2010
Publisher: Springer
Source: Journal of inequalities and applications, 27 Oct. 2010, v. 2010, 620928, p. 1-17 How to cite?
Journal: Journal of inequalities and applications 
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.
URI: http://hdl.handle.net/10397/6527
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.
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