摘要
设(X，d)为完备的距离空间，f是映(X，d)到(x，d)的算子。
In a recent paper Wang shang Zhi et. al. [1] defined three kinds of expansive mappings, and established the fixed Piont theorems of these mappings under certain conditions, and investigated the structure of the set of their fixed points. In the present paper, another two kinds of expansive mappings are defined, and the fixed point theorems of these mappings are established under certain conditions. Then we construct an example to show that some conditions of the theorems are needed in order to ensure the existence of the fixed point. These results extend the theorem 2 in [1]. In addition, this paper points out that the hypothesis of continuity of mapping f from theorems in[1] concerning the structure of the set of fixed points is superfluous, at the same time, one more extensive theorem is presented in this paper.
