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Second-order optimality conditions for nondominated solutions of multiobjective programming with C 1,1 data |
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| Authors: | Liping Liu Pekka Neittaanmäki Michal Křížek |
| Institution: | (1) Fields Institute, 222 College Street, Toronto, Ontario, M5T 3J1, Canada;(2) Laboratory of Scientific Computing, Department of Mathematics, University of Jyväskylä, P. O. Box 35, FIN–40351 Jyväskylä, Finland;(3) Mathematical Institute, Academy of Sciences,  itná 25, CZ-11567 Prague 1, Czech Republic |
| Abstract: | We examine new second-order necessary conditions and sufficient conditions which characterize nondominated solutions of a generalized constrained multiobjective programming problem. The vector-valued criterion function as well as constraint functions are supposed to be from the class C 1,1. Second-order optimality conditions for local Pareto solutions are derived as a special case. |
| Keywords: | multiobjective programming nonsmooth constrained optimization second-order optimality conditions nondominated solutions local Pareto optimal solutions |
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