Mixed-type duality for multiobjective fractional variational control problems
The concept of mixed-type duality has been extended to the class of multiobjective fractional variational control problems. A number of duality relations are proved to relate the efficient solutions of the primal and its mixed-type dual problems. The results are obtained for ρ-convex (generalized ρ-...
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| Format: | Article |
| Language: | English |
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Wiley
2005-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.109 |
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| _version_ | 1832545349208637440 |
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| author | Raman Patel |
| author_facet | Raman Patel |
| author_sort | Raman Patel |
| collection | DOAJ |
| description | The concept of mixed-type duality has been extended to the class of
multiobjective fractional variational control problems. A number
of duality relations are proved to relate the efficient solutions
of the primal and its mixed-type dual problems. The results are
obtained for ρ-convex (generalized ρ-convex) functions.
The results generalize a number of duality results previously
obtained for finite-dimensional nonlinear programming problems
under various convexity assumptions. |
| format | Article |
| id | doaj-art-150a826fe91a41ea92dc4babe9a7aa46 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-150a826fe91a41ea92dc4babe9a7aa462025-02-03T07:26:02ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-012005110912410.1155/IJMMS.2005.109Mixed-type duality for multiobjective fractional variational control problemsRaman Patel0Department of Statistics, South Gujarat University, Surat 395007, IndiaThe concept of mixed-type duality has been extended to the class of multiobjective fractional variational control problems. A number of duality relations are proved to relate the efficient solutions of the primal and its mixed-type dual problems. The results are obtained for ρ-convex (generalized ρ-convex) functions. The results generalize a number of duality results previously obtained for finite-dimensional nonlinear programming problems under various convexity assumptions.http://dx.doi.org/10.1155/IJMMS.2005.109 |
| spellingShingle | Raman Patel Mixed-type duality for multiobjective fractional variational control problems International Journal of Mathematics and Mathematical Sciences |
| title | Mixed-type duality for multiobjective fractional variational control problems |
| title_full | Mixed-type duality for multiobjective fractional variational control problems |
| title_fullStr | Mixed-type duality for multiobjective fractional variational control problems |
| title_full_unstemmed | Mixed-type duality for multiobjective fractional variational control problems |
| title_short | Mixed-type duality for multiobjective fractional variational control problems |
| title_sort | mixed type duality for multiobjective fractional variational control problems |
| url | http://dx.doi.org/10.1155/IJMMS.2005.109 |
| work_keys_str_mv | AT ramanpatel mixedtypedualityformultiobjectivefractionalvariationalcontrolproblems |