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Pseudo-Lipschitz property of linear semi-infinite vector optimization problems

T.D. Chuong, N.Q. Huy and J.C. Yao

European Journal of Operational Research, 2010, vol. 200, issue 3, 639-644

Abstract: This paper is devoted to the study of the pseudo-Lipschitz property of Pareto solution map for the parametric linear semi-infinite vector optimization problem (LSVO). We establish new sufficient conditions for the pseudo-Lipschitz property of the Pareto solution map of (LSVO) under continuous perturbations of the right-hand side of the constraints and linear perturbations of the objective function. Examples are given to illustrate the results obtained.

Keywords: Linear; semi-infinite; vector; optimization; Pareto; solution; map; Pseudo-Lipschitz; mappings; Linear; perturbations; Slater; condition (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (12)

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European Journal of Operational Research is currently edited by Roman Slowinski, Jesus Artalejo, Jean-Charles. Billaut, Robert Dyson and Lorenzo Peccati

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