Higher-Order Generalized Invexity in Control Problems
We introduce a higher-order duality (Mangasarian type and Mond-Weir type) for the control problem. Under the higher-order generalized invexity assumptions on the functions that compose the primal problems,...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2011-01-01
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| Series: | Journal of Control Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2011/127208 |
| Summary: | We introduce a
higher-order duality (Mangasarian type and
Mond-Weir type) for the control problem. Under
the higher-order generalized invexity
assumptions on the functions that compose the
primal problems, higher-order duality results
(weak duality, strong duality, and converse
duality) are derived for these pair of problems.
Also, we establish few examples in support of our
investigation. |
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| ISSN: | 1687-5249 1687-5257 |