In this paper, the aim of this work to study mixed Lagrange function for the minimax fractional programming problem with nonsmooth exponential $(p,r)$-invex functions with respect to $\eta$. We introduced a new concept of saddle point for a mixed Lagrange function. We present the equivalence between a saddle point of the mixed Lagrange function and an optimal solution in the considered minimax fractional programming problem under appropriate nonsmooth exponential $(p,r)$-invexity hypotheses.
"Mixed Lagrange Function in Minimax Fractional Programming Problems,"
Turkish Journal of Mathematics: Vol. 45:
4, Article 16.
Available at: https://journals.tubitak.gov.tr/math/vol45/iss4/16