Invexity and generalized convexity 论文

摘要

Let f be a real differentiate function defined on the open subset A of R n;f is said to be invex if the following inequality is satisfied for a suitable function η The purpose of this paper is to investigate the relationship between invexity and generalized convexity; moreover, we shall give necessary and sufficient conditions for a differentiable function to be η-invex, which are natural extensions of the analogous conditions for convex functions.