Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/13203
Title: The structure of weak Pareto solution sets in piecewise linear multiobjective optimization in normed spaces
Authors: Zheng, X
Yang, X 
Issue Date: 2008
Source: Science in China. Series A, Mathematics, 2008, v. 51, no. 7, p. 1243-1256
Abstract: In general normed spaces, we consider a multiobjective piecewise linear optimization problem with the ordering cone being convex and having a nonempty interior. We establish that the weak Pareto optimal solution set of such a problem is the union of finitely many polyhedra and that this set is also arcwise connected under the cone convexity assumption of the objective function. Moreover, we provide necessary and sufficient conditions about the existence of weak (sharp) Pareto solutions.
Keywords: Connectedness
Normed space
Piecewise linear function
Weak Pareto solution
Publisher: Science China Press
Journal: Science in China. Series A, Mathematics 
DOI: 10.1007/s11425-008-0021-3
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