Liping Liu, Fields Institute, 222 College Street, Toronto, Ontario, M5T 3J1 Canada, e-mail: lipingl@unbsj.ca, Pekka Neittaanmaki, Laboratory of Scientific Computing, Department of Mathematics, University of Jyvaskyla, P. O. Box 35, FIN-40351, Jyvaskyla, Finland, e-mail: pn@math.jyu.fi, Michal Krizek, Mathematical Institute, Academy of Sciences, Zitna 25, CZ-115 67 Prague 1, Czech Republic, e-mail: krizek@math.cas.cz
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
Classification (MSC 1991): 90C31
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