• Title/Summary/Keyword: Valterra integral equation

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FIXED POINT THEOREM IN PROBABILISTIC INNER PRODUCT SPACES AND ITS APPLICATIONS

  • HUANG XIAO-QIW;ZHU CHUAN-XI;LIU XIAO-JIE
    • Journal of applied mathematics & informatics
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    • v.19 no.1_2
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    • pp.363-370
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    • 2005
  • 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.