MULTIFARIOUS FUNCTIONAL EQUATIONS IN CONNECTION WITH THREE GEOMETRICAL MEANS

DIVYAKUMARI PACHAIYAPPAN; MURALI RAMDOSS; JUNG RYE LEE; SE WON MIN

MULTIFARIOUS FUNCTIONAL EQUATIONS IN CONNECTION WITH THREE GEOMETRICAL MEANS

Authors

DIVYAKUMARI PACHAIYAPPAN Department of Mathematics, Don Bosco College(Co-Ed), Yelagiri Hills - 635 853, TamilNadu, India https://orcid.org/0009-0005-3174-762X
MURALI RAMDOSS PG and Research Department of Mathematics, Sacred Heart College (Autonomous), Tirupattur-635 601, TamilNadu, India https://orcid.org/0009-0005-3174-762X
JUNG RYE LEE Department of Data Science, Daejin University, Kyunggi 11159, Korea https://orcid.org/0009-0005-3174-762X
SE WON MIN Department of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Korea https://orcid.org/0009-0005-3174-762X

Keywords:

Hyers-Ulam stability, functional equation, fixed point theory, fuzzy modular space

Abstract

In this article, we introduce a new generalized multifarious radical reciprocal functional equation by generalizing the equation employed by Narasimman et al. in [5] and combining three classical Pythagorean means arithmetic, geometric and harmonic. Also, we illustrate the
geometrical interpretation. Mainly, we find its general solution and stabilities related to Ulam problem in modular spaces by using fixed point approach

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Published

2024-01-09

How to Cite

DIVYAKUMARI PACHAIYAPPAN, MURALI RAMDOSS, JUNG RYE LEE, & SE WON MIN. (2024). MULTIFARIOUS FUNCTIONAL EQUATIONS IN CONNECTION WITH THREE GEOMETRICAL MEANS. Journal of Computational Analysis and Applications (JoCAAA), 32(1), 49–71. Retrieved from https://eudoxuspress.com/index.php/pub/article/view/41