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Banach Fixed-Point Theorem for Fuzzy Nonlinear Neutral Integrodifferential Equations in n-Dimensional Spaces

Author

Listed:
  • M. Nagarajan
  • K. Karthik
  • P. Chandrasekaran
  • Tamilarasi Mathivanan
  • Prasantha Bharathi Dhandapani
  • Taha Radwan

Abstract

The Banach fixed-point theorem, along with a fuzzy number characterized by normality, convexity, upper semicontinuity, and a compactly supported interval to look into the possibility of a solution equation to the fuzzy nonlinear neutral integrodifferential equation of the Sobolev-type within a fuzzy vector space of n dimensions, is employed in this research. At the end, to demonstrate the practical application of the findings, an example is also presented.

Suggested Citation

  • M. Nagarajan & K. Karthik & P. Chandrasekaran & Tamilarasi Mathivanan & Prasantha Bharathi Dhandapani & Taha Radwan, 2025. "Banach Fixed-Point Theorem for Fuzzy Nonlinear Neutral Integrodifferential Equations in n-Dimensional Spaces," Journal of Mathematics, Hindawi, vol. 2025, pages 1-9, May.
    • Handle: RePEc:hin:jjmath:6542401
    DOI: 10.1155/jom/6542401
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