Mond-Weir type second order multiobjective mixed symmetric duality with square root term under generalized univex function
In this paper, a new class of second order (Φ,ρ)-univex and second order (Φ,ρ)-pseudo univex function are introduced with example. A pair Mond-Weir type second order mixed symmetric duality for multiobjective nondifferentiable programming is formulated and the duality results are established under t...
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| Format: | Article |
| Language: | English |
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Balikesir University
2014-03-01
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| Series: | An International Journal of Optimization and Control: Theories & Applications |
| Subjects: | |
| Online Access: | http://ijocta.balikesir.edu.tr/index.php/files/article/view/175/82 |
| _version_ | 1797909657991249920 |
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| author | Arun Kumar Tripathy |
| author_facet | Arun Kumar Tripathy |
| author_sort | Arun Kumar Tripathy |
| collection | DOAJ |
| description | In this paper, a new class of second order (Φ,ρ)-univex and second order (Φ,ρ)-pseudo univex function are introduced with example. A pair Mond-Weir type second order mixed symmetric duality for multiobjective nondifferentiable programming is formulated and the duality results are established under the mild assumption of second order (∅,ρ) univexity and second order pseudo univexity. Special cases are discussed to show that this study extends some of the known results in related domain. |
| first_indexed | 2024-04-10T11:11:50Z |
| format | Article |
| id | doaj.art-e5711d76d436466b824243d5247516b0 |
| institution | Directory Open Access Journal |
| issn | 2146-0957 2146-5703 |
| language | English |
| last_indexed | 2024-04-10T11:11:50Z |
| publishDate | 2014-03-01 |
| publisher | Balikesir University |
| record_format | Article |
| series | An International Journal of Optimization and Control: Theories & Applications |
| spelling | doaj.art-e5711d76d436466b824243d5247516b02023-02-15T16:19:02ZengBalikesir UniversityAn International Journal of Optimization and Control: Theories & Applications2146-09572146-57032014-03-01412133Mond-Weir type second order multiobjective mixed symmetric duality with square root term under generalized univex functionArun Kumar TripathyIn this paper, a new class of second order (Φ,ρ)-univex and second order (Φ,ρ)-pseudo univex function are introduced with example. A pair Mond-Weir type second order mixed symmetric duality for multiobjective nondifferentiable programming is formulated and the duality results are established under the mild assumption of second order (∅,ρ) univexity and second order pseudo univexity. Special cases are discussed to show that this study extends some of the known results in related domain.http://ijocta.balikesir.edu.tr/index.php/files/article/view/175/82mixed symmetric dualityefficient solutionsquare root termSchwartz inequalitysecond order (Φρ)-univex |
| spellingShingle | Arun Kumar Tripathy Mond-Weir type second order multiobjective mixed symmetric duality with square root term under generalized univex function An International Journal of Optimization and Control: Theories & Applications mixed symmetric duality efficient solution square root term Schwartz inequality second order (Φρ)-univex |
| title | Mond-Weir type second order multiobjective mixed symmetric duality with square root term under generalized univex function |
| title_full | Mond-Weir type second order multiobjective mixed symmetric duality with square root term under generalized univex function |
| title_fullStr | Mond-Weir type second order multiobjective mixed symmetric duality with square root term under generalized univex function |
| title_full_unstemmed | Mond-Weir type second order multiobjective mixed symmetric duality with square root term under generalized univex function |
| title_short | Mond-Weir type second order multiobjective mixed symmetric duality with square root term under generalized univex function |
| title_sort | mond weir type second order multiobjective mixed symmetric duality with square root term under generalized univex function |
| topic | mixed symmetric duality efficient solution square root term Schwartz inequality second order (Φρ)-univex |
| url | http://ijocta.balikesir.edu.tr/index.php/files/article/view/175/82 |
| work_keys_str_mv | AT arunkumartripathy mondweirtypesecondordermultiobjectivemixedsymmetricdualitywithsquareroottermundergeneralizedunivexfunction |