Symmetric duality for a class of multiobjective programming
We formulate a pair of symmetric dual nondifferentiable multiobjective programming and establish appropriate duality theorems. We also show that differentiable and nondifferentiable analogues of several pairs of symmetric dual problems can be obtained as special cases of our general symmetric progra...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171200002647 |
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| _version_ | 1850169309506043904 |
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| author | Xinmin Yang Shouyang Wang Duan Li |
| author_facet | Xinmin Yang Shouyang Wang Duan Li |
| author_sort | Xinmin Yang |
| collection | DOAJ |
| description | We formulate a pair of symmetric dual nondifferentiable
multiobjective programming and establish appropriate duality
theorems. We also show that differentiable and nondifferentiable
analogues of several pairs of symmetric dual problems can be
obtained as special cases of our general symmetric programs. |
| format | Article |
| id | doaj-art-a8618b28d8ad420d99fa8bc0ef934748 |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-a8618b28d8ad420d99fa8bc0ef9347482025-08-20T02:20:45ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-0124961762510.1155/S0161171200002647Symmetric duality for a class of multiobjective programmingXinmin Yang0Shouyang Wang1Duan Li2Department of Mathematics, Chongqing Normal University, Chongqing 400047, ChinaInstitute of Systems Science, Chinese Academy of Sciences, Beijing 100080, ChinaDepartment of System Engineering and Engineering Management, Chinese University of Hong Kong, Shatin, N.T., Hong KongWe formulate a pair of symmetric dual nondifferentiable multiobjective programming and establish appropriate duality theorems. We also show that differentiable and nondifferentiable analogues of several pairs of symmetric dual problems can be obtained as special cases of our general symmetric programs.http://dx.doi.org/10.1155/S0161171200002647Symmetric dualitymultiobjective nondifferentiablepseudo-convexity. |
| spellingShingle | Xinmin Yang Shouyang Wang Duan Li Symmetric duality for a class of multiobjective programming International Journal of Mathematics and Mathematical Sciences Symmetric duality multiobjective nondifferentiable pseudo-convexity. |
| title | Symmetric duality for a class of multiobjective programming |
| title_full | Symmetric duality for a class of multiobjective programming |
| title_fullStr | Symmetric duality for a class of multiobjective programming |
| title_full_unstemmed | Symmetric duality for a class of multiobjective programming |
| title_short | Symmetric duality for a class of multiobjective programming |
| title_sort | symmetric duality for a class of multiobjective programming |
| topic | Symmetric duality multiobjective nondifferentiable pseudo-convexity. |
| url | http://dx.doi.org/10.1155/S0161171200002647 |
| work_keys_str_mv | AT xinminyang symmetricdualityforaclassofmultiobjectiveprogramming AT shouyangwang symmetricdualityforaclassofmultiobjectiveprogramming AT duanli symmetricdualityforaclassofmultiobjectiveprogramming |