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Duality in nondifferentiable multiobjective fractional programming problem with generalized invexity. (English) Zbl 1235.90119

Summary: In this paper, a new class of higher-order \((V,\alpha ,\rho ,\theta )\)-invex function is introduced. Conditions are obtained under which a fractional function is higher-order \((V,\alpha ,\rho ,\theta )\)-invex. Sufficiency of Karush-Kuhn-Tucker conditions is shown under this class of function. We then consider a nondifferentiable multiobjective fractional programming problem and derive the duality theorems.

MSC:

90C26 Nonconvex programming, global optimization
90C29 Multi-objective and goal programming
90C32 Fractional programming
90C46 Optimality conditions and duality in mathematical programming
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