Stability of semi-infinite vector optimization problems under functional perturbations
This paper is devoted to the study of continuity properties of Pareto solution maps for parametric semi-infinite vector optimization problems (PSVO). We establish new necessary conditions for lower and upper semicontinuity of Pareto solution maps under functional perturbations of both objective func...
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| Veröffentlicht in: | Journal of global optimization 2009-12, Vol.45 (4), p.583-595 |
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| container_title | Journal of global optimization |
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| creator | Chuong, T. D. Huy, N. Q. Yao, J. C. |
| description | This paper is devoted to the study of continuity properties of Pareto solution maps for parametric semi-infinite vector optimization problems (PSVO). We establish new necessary conditions for lower and upper semicontinuity of Pareto solution maps under functional perturbations of both objective functions and constraint sets. We also show that the necessary condition becomes sufficient for the lower and upper semicontinuous properties in the special case where the constraint set mapping is lower semicontinuous at the reference point. Examples are given to illustrate the obtained results. |
| doi_str_mv | 10.1007/s10898-008-9391-x |
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D.</au><au>Huy, N. Q.</au><au>Yao, J. C.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Stability of semi-infinite vector optimization problems under functional perturbations</atitle><jtitle>Journal of global optimization</jtitle><stitle>J Glob Optim</stitle><date>2009-12-01</date><risdate>2009</risdate><volume>45</volume><issue>4</issue><spage>583</spage><epage>595</epage><pages>583-595</pages><issn>0925-5001</issn><eissn>1573-2916</eissn><abstract>This paper is devoted to the study of continuity properties of Pareto solution maps for parametric semi-infinite vector optimization problems (PSVO). We establish new necessary conditions for lower and upper semicontinuity of Pareto solution maps under functional perturbations of both objective functions and constraint sets. 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| subjects | Applied mathematics Computer Science Hierarchies Mapping Mathematical problems Mathematics Mathematics and Statistics Operations Research/Decision Theory Optimization Real Functions Studies |
| title | Stability of semi-infinite vector optimization problems under functional perturbations |
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