STABILITY OF BINET-CAUCHY FUNCTIONAL
EQUATION ON NON-ARCHIMEDEAN BANACH ALGEBRAS
Karthikeyan Subramani1, P. Palani2
1Department of Mathematics
R.M.K. Engineering College
Kavaraipettai - 601206, Tamil Nadu, INDIA
2Department of Mathematics
Sri Vidya Mandir Arts and Science College
Uthangarai-636902, Tamil Nadu, INDIA

Abstract

In this paper, we introduced Binet-Cauchy additive functional equation
\begin{align*} \left(\sum\limits^{n}_{i=1}f(x_iy_i)\right)&\left(\sum\limits^{n... ...<j\le n}f\left(x_i u_j-x_j u_i\right)f\left(y_i v_j-y_j v_i\right) \end{align*}
and established related generalized Ulam-Hyers stability results in non-Archimedean Banach modules over a Banach algebra.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 34
Issue: 4
Year: 2021

DOI: 10.12732/ijam.v34i4.8

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