On Generalized Convexity of Nonlinear Complementarity Functions
In this paper, we study some properties of quasiconvex nonlinear complementarity functions. However, we prove that a nonlinear complementarity function cannot be pseudoconvex. As a consequence of this, we show that every convex nonlinear complementarity function is nondifferentiable. Furthermore, some properties of homogeneous nonlinear complementarity functions are proved.
generalized convexity nonlinear complementarity function homogeneous function nonlinear complementarity problem 90c33