Nonlinear Fractional Programming

Abstract

In this chapter we deal with the following nonlinear fractional programming problem:

$$P:\mathop{{\max }}\limits_{{x \in s}} q(x) = (f(x) + \alpha )/((x) + \beta )$$

where f, g: Rⁿ → R, α, β ∈ R, S ⊆ Rⁿ. To simplify things, and without restricting the generality of the problem, it is usually assumed that, g(x) + β + 0 for all x ∈ S,S is non-empty and that the objective function has a finite optimal value.