Fixed point theorems in probabilistic inner product spaces
Authors:
Zhang Shi-sheng
Affiliation:
Department of Mathematics. Sichuan University, Chengdu
Abstract:
The purpose of this paper is to introduce a new modifying definition for probabilistic inner product space, and to establish several new fixed point theorems for mappings on such kind of spaces. As an example of applications, we utilize the results of this paper to study the existence and uniqueness of solution of Uryson's integral equation in IV.