Hyers-Ulam Stability of Generalized Quartic Mapping in non-Archimedean $(n,\beta)$-normed spaces

Authors

  • Gowri Senthil Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Saveetha University, Tandalam, Chennai - 602 105, Tamil Nadu, India
  • Siriluk Donganont School of Science, University of Phayao Phayao 56000, Thailand
  • S. Karthick Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur-603203, Tamilnadu, India
  • Balaanandhan Radhakrishnan Department of Mathematics, Sri Sankara Arts and Science College (Autonomous), Enathur-631 561, Kanchipuram, Tamil Nadu, India
  • Kandhasamy Tamilvanan

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i4.6699

Keywords:

Quartic functional equation, Hyers-Ulam stability, non-Archimedean $(n,\beta)$-normed spaces, generalized control function

Abstract

In this article, we introduce a novel structure termed as the non-Archimedean (n, β)-normed space, formulated over a non-Archimedean field. This generalization extends the concept of classical normed spaces by integrating a parameterized framework involving n-tuples and an exponent β. We delve into the fundamental characteristics of these spaces, demonstrating how they connect to standard non-Archimedean n-normed and n-quasi-normed structures. Moreover, we provide examples that support the theory and help show some fixed point results, making these spaces easier to use in real problems.

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Published

2025-11-05

Issue

Vol. 18 No. 4: (October 2025)

Section

Functional Analysis

License

Copyright (c) 2025 Gowri Senthil, Siriluk Donganont, S. Karthick, Balaanandhan Radhakrishnan, Kandhasamy Tamilvanan

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How to Cite

Hyers-Ulam Stability of Generalized Quartic Mapping in non-Archimedean $(n,\beta)$-normed spaces. (2025). European Journal of Pure and Applied Mathematics, 18(4), 6699. https://doi.org/10.29020/nybg.ejpam.v18i4.6699