Geodesic
Second-order optimality conditions for nondominated solutions of multiobjective programming with $C^{1,1}$ data
Applications of Mathematics, Tome 45 (2000) no. 5, pp. 381-397

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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.
DOI : 10.1023/A:1022272728208
Classification : 49J52, 90C29, 90C31, 90C46
Keywords: multiobjective programming; nonsmooth constrained optimization; second-order optimality conditions; nondominated solutions; local Pareto optimal solutions 
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     title = {Second-order optimality conditions for nondominated solutions of multiobjective programming with $C^{1,1}$ data},
     journal = {Applications of Mathematics},
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Liu, Liping; Neittaanmäki, Pekka; Křížek, Michal. Second-order optimality conditions for nondominated solutions of multiobjective programming with $C^{1,1}$ data. Applications of Mathematics, Tome 45 (2000) no. 5, pp. 381-397. doi: 10.1023/A:1022272728208

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