New concepts of strongly pseudoconvex functions and strongly pseudomonotone maps are introduced, which are stronger than corresponding concepts in ref.2. It is shown that strong pseudomonotonicity of the gradient corresponds to strong pseudoconvexity of the underlying function, without any other assumption of the function. Point out the error example 3.1 in ref.2, and give a right counterexample. Also, for an open question in ref.1, a very simple counterexample is presented.
展开▼
