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Optimality conditions and duality for generalized fractional minimax programming involving locally Lipschitz (b,Ψ,Φ,ρ) -univex functions

Antczak T., Mishra S. K., Upadhyay B. B.

Control and Cybernetics

2018

Vol. 47, no. 1

5--32

In this paper, we are concerned with optimality conditions and duality results of generalized fractional minimax programming problems. Suﬃcient optimality conditions are established for a class of nondiﬀerentiable generalized fractional minimax programming problems, in which the involved functions are locally Lipschitz (b,Ψ,Φ,ρ)-univex. Subsequently, these optimality conditions are utilized as a basis for constructing various parametric and nonparametric duality models for this type of fractional programming problems and proving appropriate duality theorems.