Saddle Point Criteria in Semi-Infinite Minimax Fractional Programming under (Φ, ρ)-Invexity

Abstract

Semi-infinite minimax fractional programming problems with both inequality and equality constraints are considered. The sets of parametric saddle point conditions are established for a new class of nonconvex differentiable semi-infinite minimax fractional programming problems under (Phi,rho)-invexity assumptions. With the reference to the said concept of generalized convexity we extend some results of saddle point criteria for a larger class of nonconvex semi-infinite minimax fractional programming problems in comparison to those ones previously established in the literature.