Journal of applied mathematics & informatics
- Volume 26 Issue 5_6
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- Pages.819-837
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- 2008
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- 2734-1194(pISSN)
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- 2234-8417(eISSN)
MIXED TYPE DUALITY FOR CONTROL PROBLEMS WITH GENERALIZED INVEXITY
- Husain, I. (Department of Mathematics, Jaypee Institute of Engineering and Technology) ;
- Ahmed, A. (Department of Statistics, University of Kashmir) ;
- Ahmad, B. (Department of Statistics, University of Kashmir)
- Published : 2008.09.30
Abstract
A mixed type dual to the control problem in order to unify Wolfe and Mond-Weir type dual control problem is presented in various duality results are validated and the generalized invexity assumptions. It is pointed out that our results can be extended to the control problems with free boundary conditions. The duality results for nonlinear programming problems already existing in the literature are deduced as special cases of our results.