Approximation on the reciprocal functional equation in several variables in matrix non-Archimedean random normed spaces

DOI10.1186/s13662-015-0656-7zbMath1422.39057OpenAlexW2165822639WikidataQ59428214 ScholiaQ59428214MaRDI QIDQ1796446

Saeed Ostadbashi, Ali Ebadian, Chun-Gil Park, Somayyeh Zolfaghari

Publication date: 17 October 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-015-0656-7

zbMATH Keywords

Hyers-Ulam-Rassias stabilityfixed point alternativeadjoint and difference functional equationsgeneral reciprocal functional equationsmatrix non-Archimedean random normed spacesRassias reciprocal functional equation

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Functional equations for functions with more general domains and/or ranges (39B52) Systems of functional equations and inequalities (39B72) Probabilistic metric spaces (54E70) Functional analysis in probabilistic metric linear spaces (46S50)

Related Items (11)

Approximating an advanced multi-dimensional reciprocal-quadratic mapping via a fixed point approach ⋮ Approximation of a system of rational functional equations of three variables ⋮ Ulam stability of an additive-quadratic functional equation in Banach spaces ⋮ Erratum to: ``Approximation on the reciprocal functional equation in several variables in matrix non-Archimedean random normed spaces ⋮ Stabilities of various multiplicative inverse functional equations ⋮ Derivation-homomorphism functional inequalities ⋮ Classical stabilities of multiplicative inverse difference and adjoint functional equations ⋮ Approximate reciprocal Lie \(\star \)-derivations ⋮ The cubic ρ-functional equation in matrix non-Archimedean random normed spaces ⋮ Stabilities and non-stabilities of a new reciprocal functional equation ⋮ Various Approximate Multiplicative Inverse Lie $$\star $$-Derivations

Cites Work

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• Solution of a problem of Ulam
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• On the stability of the linear transformation in Banach spaces
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• Stability of a Mixed Type Additive, Quadratic, Cubic and Quartic Functional Equation
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• On the stability of the additive Cauchy functional equation in random normed spaces
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