Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/27634
Title: Weak sharp minima for piecewise linear multiobjective optimization in normed spaces
Authors: Zheng, XY
Yang, XQ 
Keywords: Nonlinear multiobjective optimization
Normed space
Weak Pareto solution
Weak sharp minima
Issue Date: 2008
Publisher: Pergamon Press
Source: Nonlinear analysis : theory, methods and applications, 2008, v. 68, no. 12, p. 3771-3779 How to cite?
Journal: Nonlinear analysis : theory, methods and applications 
Abstract: In a general normed space, we consider a piecewise linear multiobjective optimization problem. We prove that a cone-convex piecewise linear multiobjective optimization problem always has a global weak sharp minimum property. By a counter example, we show that the weak sharp minimum property does not necessarily hold if the cone-convexity assumption is dropped. Moreover, under the assumption that the ordering cone is polyhedral, we prove that a (not necessarily cone-convex) piecewise linear multiobjective optimization problem always has a bounded weak sharp minimum property.
URI: http://hdl.handle.net/10397/27634
ISSN: 0362-546X
DOI: 10.1016/j.na.2007.04.018
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