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Research Article Open Access

On the Theory of Intuitionistic Fuzzy N-Inner Product Spaces with Applications

Renu Chugh1 and Seema Mehra1
  • 1 Maharshi Dayanand University, India

Abstract

Problem statement: The purpose of this study was to introduce the notion of Intuitionistic fuzzy n-inner product space and to prove a fixed point theorem in complete intuitionistic fuzzy ninner product space. Conclusion/Recommendations: Further this result is applied to obtain the existence and uniqueness of solution for linear volterra integral equation.

Journal of Mathematics and Statistics
Volume 8 No. 2, 2012, 198-210

DOI: https://doi.org/10.3844/jmssp.2012.198.210

Submitted On: 15 December 2008 Published On: 19 March 2012

How to Cite: Chugh, R. & Mehra, S. (2012). On the Theory of Intuitionistic Fuzzy N-Inner Product Spaces with Applications. Journal of Mathematics and Statistics, 8(2), 198-210. https://doi.org/10.3844/jmssp.2012.198.210

Open AccessCopyright: © 2012 Renu Chugh and Seema Mehra. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Keywords

  • Volterra integral equation
  • intuitionistic fuzzy ninner
  • complete intuitionistic fuzzy
  • fixed point theorem
  • linear space respectively
  • intuitionistic fuzzy