Intuitionistic Menger inner product spaces and applications to integral equations |
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| Authors: | Shi-sheng Zhang M. Goudarzi R. Saadati S. M. Vaezpour |
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| Affiliation: | 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 |
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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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| Keywords: | intuitionistic Menger inner product space Volterra integral equation h-type t-norm fixed point theorem |
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