Mixed Lagrange Function in Minimax Fractional Programming Problems

Authors

SHUNCHIN HO

DOI

10.3906/mat-2011-91

Abstract

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.

Keywords

Minimax problem, exponential $(p, r)$-invex function, mixed Lagrange function

First Page

1678

Last Page

1688

Recommended Citation

HO, SHUNCHIN (2021) "Mixed Lagrange Function in Minimax Fractional Programming Problems," Turkish Journal of Mathematics: Vol. 45: No. 4, Article 16. https://doi.org/10.3906/mat-2011-91
Available at: https://journals.tubitak.gov.tr/math/vol45/iss4/16