FIXED POINT THEOREM IN PROBABILISTIC INNER PRODUCT SPACES AND ITS APPLICATIONS

  • HUANG XIAO-QIW (Faculty of Science, Xi'an Jiaotong University) ;
  • ZHU CHUAN-XI (Institute of Mathematics, Nanchang University) ;
  • LIU XIAO-JIE (Institute of Mathematics, Shijiazhuang No.2 middle school)
  • Published : 2005.09.01

Abstract

In this paper, we obtain a new fixed point theorem in complete probabilistic ${\Delta}$-inner product space. As an example of applications, we utilize the results of this paper to study the existence and uniqueness of solutions for linear Valterra integral equation.

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