Parametric nondifferentiable multiobjective fractional programming under (b, Ψ, Φ, ρ)-univexity

Authors : Tadeusz ANTCZAK, Ram VERMA

Pages : 2125-2147

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :In this paper, we are concerned with optimality conditions and duality results for nondifferentiable multiobjective fractional programming problems. Parametric necessary optimality conditions are established for such vector optimization problems in which each component of the involved functions is locally Lipschitz. Further, under the introduced concept of nondifferentiable $insert ignore into journalissuearticles values(b,\Psi ,\Phi ,\rho );$-univexity, the parametric sufficient optimality conditions are established for a new class of nonconvex multiobjective fractional programming problems. Furthermore, for the considered multiobjective fractional programming problem, its parametric vector dual problem in the sense of Schaible is defined. Then several duality theorems are also established under $insert ignore into journalissuearticles values(b,\Psi ,\Phi ,\rho );$% -univexity hypotheses.
Keywords : Parametric multiobjective fractional programming, nondifferentiable vector valued b, Psi, Phi, ho, univex function, parametric optimality conditions, parametric duality