Intuitionistic Menger inner product spaces and applications to integral equations

ZHANG Shi-Sheng;M.Goudarzi;R.Saadati;S.M.Vaezpour

doi:10.1007/s10483-010-0402-z

Applied Mathematics and Mechanics >

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

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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 date: 2009-09-25

Revised date: 2010-03-10

Online published: 2010-04-01

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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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ZHANG Shi-Sheng;M.Goudarzi;R.Saadati;S.M.Vaezpour . Intuitionistic Menger inner product spaces and applications to integral equations[J]. Applied Mathematics and Mechanics, 2010 , 31(4) : 415 -424 . DOI: 10.1007/s10483-010-0402-z

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