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, pages 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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Persistent link: http://EconPapers.repec.org/RePEc:eee:ejores:v:200:y:2010:i:3:p:639-644

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