Ulam stability of a generalized reciprocal type functional equation in non-Archimedean fields

DOI10.1007/s40065-014-0121-6zbMath1331.39023OpenAlexW2024029025WikidataQ59431353 ScholiaQ59431353MaRDI QIDQ889500

John Michael S. Rassias, Beri Venkatachalapathy Senthil Kumar, Krishnan Ravi

Publication date: 6 November 2015

Published in: Arabian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40065-014-0121-6

zbMATH Keywords

generalized Hyers-Ulam-Rassias stabilitynon-Archimedean fieldsreciprocal-type functional equation

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Functional equations for functions with more general domains and/or ranges (39B52)

Related Items (4)

Stabilities and non-stabilities of the reciprocal-nonic and the reciprocal-decic functional equations ⋮ Approximation on the reciprocal-cubic and reciprocal-quartic functional equations in non-Archimedean fields ⋮ On the stability of the functional equation \(f(2x+y)+f \left(\frac{x+y}{2}\right)=\frac{2f(x)f(y)}{f(x)+f(y)}+\frac{2f(x+y)f(y-x)}{3f(y-x)-f(x+y)}\) ⋮ Various stabilities of reciprocal-septic and reciprocal-octic functional equations

Cites Work

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• Hyers-Ulam stability of functional equations in matrix normed spaces
• Ulam's type stability of impulsive ordinary differential equations
• On the generalized Ulam-Gavruta-Rassias stability of mixed-type linear and Euler-Lagrange-Rassias functional equations
• Hyers-Ulam-Rassias and Ulam-Gavruta-Rassias stabilities of an additive functional equation in several variables
• Solution and stability of a mixed type cubic and quartic functional equation in quasi-Banach spaces
• On approximation of approximately linear mappings by linear mappings
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• Stability of a functional equation deriving from cubic and quadratic functions.
• Quadratic functional equation and inner product spaces
• Homomorphisms and derivations in \(C^{*}\)-algebras
• On the stability of the linear transformation in Banach spaces
• STABILITY OF THE EULER-LAGRANGE-RASSIAS FUNCTIONAL EQUATION
• On the Stability of the Linear Mapping in Banach Spaces
• Ulam–Hyers–Mittag-Leffler stability of fractional-order delay differential equations
• On the Stability of the Linear Functional Equation
• Stability of functional equations in several variables

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