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Journal of Optimization Theory and Applications

, Volume 147, Issue 1, pp 113–124 | Cite as

Structure and Weak Sharp Minimum of the Pareto Solution Set for Piecewise Linear Multiobjective Optimization

  • X. Q. YangEmail author
  • N. D. Yen
Article

Abstract

In this paper, the Pareto solution set of a piecewise linear multiobjective optimization problem in a normed space is shown to be the union of finitely many semiclosed polyhedra. If the problem is further assumed to be cone-convex, then it has the global weak sharp minimum property.

Keywords

Piecewise linear functions Multiobjective optimization problems Pareto solution sets Global weak sharp minimum Image space analysis 

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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Department of Applied MathematicsHong Kong Polytechnic UniversityHung HomHong Kong
  2. 2.Institute of MathematicsVietnamese Academy of Science and TechnologyHanoiVietnam

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