Mixed‐type duality for multiobjective fractional variational control problems | Zendy

R.M. Patel | Zendy

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Mixed‐type duality for multiobjective fractional variational control problems

Author(s) -

R.M. Patel

Publication year - 2005

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/ijmms.2005.109

Subject(s) - mathematics , duality (order theory) , strong duality , wolfe duality , convexity , type (biology) , duality gap , convex analysis , fractional programming , weak duality , class (philosophy) , convex optimization , convex function , perturbation function , regular polygon , dual (grammatical number) , mathematical optimization , nonlinear system , pure mathematics , nonlinear programming , optimization problem , artificial intelligence , biology , economics , art , literature , quantum mechanics , physics , ecology , geometry , computer science , financial economics

The concept of mixed-type duality has been extended to the class ofmultiobjective fractional variational control problems. A numberof duality relations are proved to relate the efficient solutionsof the primal and its mixed-type dual problems. The results areobtained for ρ-convex (generalized ρ-convex) functions.The results generalize a number of duality results previouslyobtained for finite-dimensional nonlinear programming problemsunder various convexity assumptions

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