Optimality conditions for multiple objective fractional subset programming with (ρ,σ,θ)-type-I and related non-convex functions

Abstract

In this paper, we introduce a class of generalized invex n-set functions, called (ρ,σ,θ)-type-I and related non-convex functions, and then establish a number of parametric and semi-parametric sufficient optimality conditions for the primal problem under the aforesaid assumptions. This work partially extends an earlier work of Mishra et al. (Math. Methods Oper. Res. 67, 493–504, 2008) to a wider class of functions.