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

X. Q. Yang () and N. D. Yen
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X. Q. Yang: Hong Kong Polytechnic University
N. D. Yen: Vietnamese Academy of Science and Technology

Journal of Optimization Theory and Applications, 2010, vol. 147, issue 1, No 7, 113-124

Abstract: 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 (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s10957-010-9710-5

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