Email Alert    RSS

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

• Articles • Previous Articles     Next Articles

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

PDF

1095

Cited

4

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.

2010 MSC Number: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals
Total visitors:
Copyright © Applied Mathematics and Mechanics (English Edition)
Address：P. O. Box 122, Shanghai University, 99 Shangda Road, Shanghai 200444, China
E-mail： amm@department.shu.edu.cn
Technical support: Beijing Magtech Co.ltd support@magtech.com.cn