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Husain, I.,Ahmed, A.,Rumana, G. Mattoo The Korean Society for Computational and Applied M 2009 Journal of applied mathematics & informatics Vol.27 No.1
A multiobjective variational problem involving higher order derivatives is considered and Fritz-John and Karush-Kuhn-Tucker type optimality conditions for this problem are derived. As an application of Karush-Kuhn-Tucker optimality conditions, Wolfe type dual to this variational problem is constructed and various duality results are validated under generalized invexity. Some special cases are mentioned and it is also pointed out that our results can be considered as a dynamic generalization of the already existing results in nonlinear programming.
MIXED TYPE MULTIOBJECTIVE VARIATIONAL PROBLEMS WITH HIGHER ORDER DERIVATIVES
Husain, I.,Ahmed, A.,Rumana, G. Mattoo The Korean Society for Computational and Applied M 2009 Journal of applied mathematics & informatics Vol.27 No.1
A mixed type dual for multiobjective variational problem involving higher order derivatives is formulated and various duality results under generalized invexity are established. Special cases are generated and it is also pointed out that our results can be viewed as a dynamic generalization of existing results in the static programming.
MULTIOBJECTIVE CONTINUOUS PROGRAMMING CONTAINING SUPPORT FUNCTIONS
Husain, I.,Ahmed, A.,Rumana, G. Mattoo The Korean Society for Computational and Applied M 2009 Journal of applied mathematics & informatics Vol.27 No.3
Wolfe and Mond-Weir type dual to a nondifferentiable continuous programming containing support functions are formulated and duality is investigated for these two dual models under invexity and generalized invexity. A close relationship of our duality results with those of nondifferentiable nonlinear programming problem is also pointed out.