GAO Zhen-xia, CAO Huai-xin
(College of Mathematics and Information Science, Shaanxi Normal University, Xi′an 710062, Shaanxi, China)
Abstract:
The main purpose of this paper is to study several stabilities of nonlinear operators by using operator theoretic method. The definitions of ε-stability, uniform stability, strong uniform stability and weak stability of a nonlinear operator are given. Some sufficient, necessary, as well as necessary and sufficient conditions for these stabilities are obtained.
KeyWords:
ε-stability; uniform stability; strong uniform stability; weak stability; nonlinear operator
