The structure of weak Pareto solution sets in piecewise linear multiobjective optimization in normed spaces
作者： XiYin Zheng , XiaoQi Yang
DOI: 10.1007/S11425-008-0021-3
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摘要: In general normed spaces, we consider a multiobjective piecewise linear optimization problem with the ordering cone being convex and having nonempty interior. We establish that weak Pareto optimal solution set of such is union finitely many polyhedra this also arcwise connected under convexity assumption objective function. Moreover, provide necessary sufficient conditions about existence (sharp) solutions.
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