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Applied Mathematics and Mechanics (English Edition) ›› 2010, Vol. 31 ›› Issue (4): 415-424.doi: https://doi.org/10.1007/s10483-010-0402-z

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Intuitionistic Menger inner product spaces and applications to integral equations

张石生1 M.Goudarzi2 R.Saadati2 S.M.Vaezpour2   

  1. 1. Department of Mathematics, Yibin University, Yibin 644007, Sichuan Province, P. R. China;
    2. Department of Mathematics and Computer Science, Amirkabir University of Technology, 424 Hafez Avenue, Tehran 15914, Iran
  • 收稿日期:2009-09-25 修回日期:2010-03-10 出版日期:2010-04-20 发布日期:2010-04-01

Intuitionistic Menger inner product spaces and applications to integral equations

 ZHANG Shi-Sheng1 M.Goudarzi2 R.Saadati2 S.M.Vaezpour2   

  1. 1. Department of Mathematics, Yibin University, Yibin 644007, Sichuan Province, P. R. China;
    2. Department of Mathematics and Computer Science, Amirkabir University of Technology, 424 Hafez Avenue, Tehran 15914, Iran
  • Received:2009-09-25 Revised:2010-03-10 Online:2010-04-20 Published:2010-04-01

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1095

被引次数

4

摘要： In this paper, first introduce and define an intuitionistic Menger inner product space, and then, obtain a new fixed point theorem in a complete intuitionistic Menger inner product space. As an application, the results are used to study the existence and uniqueness of the solution to a linear Volterra integral equation.

Abstract: In this paper, first introduce and define an intuitionistic Menger inner product space, and then, obtain a new fixed point theorem in a complete intuitionistic Menger inner product space. As an application, the results are used to study the existence and uniqueness of the solution to a linear Volterra integral equation.

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