Zhang Shi-sheng. Fixed Point Theorem in Probabilistic Inner Product Spaces[J]. Applied Mathematics and Mechanics, 1985, 6(1): 67-74.
Citation: Zhang Shi-sheng. Fixed Point Theorem in Probabilistic Inner Product Spaces[J]. Applied Mathematics and Mechanics, 1985, 6(1): 67-74.

Fixed Point Theorem in Probabilistic Inner Product Spaces

  • Received Date: 1984-03-08
  • Publish Date: 1985-01-15
  • The purpose of this paper is to introduce a new maditying detinition for probabilistie inner product space, and to establish seveeral 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 Urysons integral equation in [4].
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  • [1]
    Schweizer.B.and A.Sklar.Probahilistic Metric Spaces,North-Holland.New York.Amsterdam,Oxford.(1982).
    [2]
    Dumitrescu,C.,Un Produit scalaire probabiliste.Rev.,Roum.Math.Pureet Appl.,26.3(1981).399-404.
    [3]
    Krasnoselskii.M,A.,Topological Methods in the Theory of Nonlinear Integral Equations,Pergamon Press.Oxford,London.New York.Paris.(1964).
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