Duality for a Class of Generalized Fractional Programming Under Nonsmooth Generalized(F,ρ,θ)-d-univexity
Tong Zi-shuang
Abstract
Tong Zi-shuang
Abstract
We aer concerned with a nondifferentiable generalized fractional problem with inequality constraints.We introduce a new class of generalized convex function,that is,nonsmooth generalized(F,ρ,θ)-d-univex function.In the framework of the new concept,we derive Kuhn-Tucker type necessary optimality conditions and establish weak,strong and converse duality theorems for the problem and its one dual problem.
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We aer concerned with a nondifferentiable generalized fractional problem with inequality constraints.We introduce a new class of generalized convex function,that is,nonsmooth generalized(F,ρ,θ)-d-univex function.In the framework of the new concept,we derive Kuhn-Tucker type necessary optimality conditions and establish weak,strong and converse duality theorems for the problem and its one dual problem.
Key concepts: Mathematics, Converse, Duality (order theory), Class (philosophy), Fractional programming, Convex function, Pure mathematics, Applied mathematics