Intuitionistic Menger inner product spaces and applications to integral equation

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Intuitionistic Menger inner product spaces and applications to integral equations

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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作 者: Shi-sheng ZHANG M.GOUDARZI R.SAADATI S.M.VAEZPOUR  
作者单位:Shi-sheng ZHANG(Department of Mathematics,Yibin University,Yibin 644007,Sichuan Province,P.R.China)
{Z.MRyE6d2\-k0M.GOUDARZI,R.SAADATI,S.M.VAEZPOUR(Department of Mathematics and Computer Science,Amirkabir University of Technology,424 Hafez Avenue,Tehran 15914,Iran) 
刊 名:应用数学和力学(英文版)  EI SCI
英文刊名:APPLIED MATHEMATICS AND MECHANICS 
年,卷(期):2010 31(4) 
分类号:O177.91 
关键词:intuitionistic Menger inner product space   Volterra integral equation   h-type t-norm   fixed point theorem  
机标关键词:integral equationsproduct spaceinner productexistence and uniquenessfixed point theoremapplicationintroduceVolterrasolutionresultsstudypapernew 
基金项目:The Natural Science Foundation of Yibin University 
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