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Fixed point theorem in probabilistic inner product spaces and its applications

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Abstract

In this paper, we obtain a new fixed point theorem in complete probabilistic Δ-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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Authors and Affiliations

  1. Faculty of science, Xi'an Jiaotong University, 710049, Xi'an, China

    Huang Xiao-Qin

  2. Institute of Mathematics, Nanchang University, 330047, Nanchang, China

    Zhu Chuan-xi

  3. Institute of Mathematics, Shijiazhuang No.2 middle school, 050000, Shijiazhuang, China

    Liu Xiao-Jie

Authors
  1. Huang Xiao-Qin
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  2. Zhu Chuan-xi
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  3. Liu Xiao-Jie
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Corresponding author

Correspondence to Huang Xiao-Qin.

Additional information

Huang Xiao-qin received her BS from Hebei Normal University. Now she is a Doctor of Xi'an Jiaotong University. Her research interests focus on stochastic control and functional analysis.

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Xiao-Qin, H., Chuan-xi, Z. & Xiao-Jie, L. Fixed point theorem in probabilistic inner product spaces and its applications. JAMC 19, 363–370 (2005). https://doi.org/10.1007/BF02935811

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  • DOI: https://doi.org/10.1007/BF02935811

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