A Characterization of E-Benson Proper Efficiency via Nonlinear Scalarization in Vector Optimization
A class of vector optimization problems is considered and a characterization of E-Benson proper efficiency is obtained by using a nonlinear scalarization function proposed by Göpfert et al. Some examples are given to illustrate the main results.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/649756 |
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| _version_ | 1832548226768568320 |
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| author | Ke Quan Zhao Yuan Mei Xia Hui Guo |
| author_facet | Ke Quan Zhao Yuan Mei Xia Hui Guo |
| author_sort | Ke Quan Zhao |
| collection | DOAJ |
| description | A class of vector optimization problems is considered and a characterization
of E-Benson proper efficiency is obtained by using a nonlinear scalarization
function proposed by Göpfert et al. Some examples are given to illustrate the main
results. |
| format | Article |
| id | doaj-art-d7967e7796294fc7a265bad0d3002717 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-d7967e7796294fc7a265bad0d30027172025-02-03T06:41:57ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/649756649756A Characterization of E-Benson Proper Efficiency via Nonlinear Scalarization in Vector OptimizationKe Quan Zhao0Yuan Mei Xia1Hui Guo2College of Mathematics Science, Chongqing Normal University, Chongqing 401331, ChinaCollege of Mathematics Science, Chongqing Normal University, Chongqing 401331, ChinaCollege of Mathematics Science, Chongqing Normal University, Chongqing 401331, ChinaA class of vector optimization problems is considered and a characterization of E-Benson proper efficiency is obtained by using a nonlinear scalarization function proposed by Göpfert et al. Some examples are given to illustrate the main results.http://dx.doi.org/10.1155/2014/649756 |
| spellingShingle | Ke Quan Zhao Yuan Mei Xia Hui Guo A Characterization of E-Benson Proper Efficiency via Nonlinear Scalarization in Vector Optimization Journal of Applied Mathematics |
| title | A Characterization of E-Benson Proper Efficiency via Nonlinear Scalarization in Vector Optimization |
| title_full | A Characterization of E-Benson Proper Efficiency via Nonlinear Scalarization in Vector Optimization |
| title_fullStr | A Characterization of E-Benson Proper Efficiency via Nonlinear Scalarization in Vector Optimization |
| title_full_unstemmed | A Characterization of E-Benson Proper Efficiency via Nonlinear Scalarization in Vector Optimization |
| title_short | A Characterization of E-Benson Proper Efficiency via Nonlinear Scalarization in Vector Optimization |
| title_sort | characterization of e benson proper efficiency via nonlinear scalarization in vector optimization |
| url | http://dx.doi.org/10.1155/2014/649756 |
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