A functional equation related to inner product spaces in non-Archimedean \(\mathcal L\)-random normed spaces

DOI10.1186/1029-242X-2012-168zbMath1274.46132OpenAlexW2125426252WikidataQ59288947 ScholiaQ59288947MaRDI QIDQ379081

Javad Vahidi, Reza Saadati, Chun-Gil Park

Publication date: 8 November 2013

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2012-168

zbMATH Keywords

Hyers-Ulam stabilityadditive and quadratic functional equationnon-Archimedean spaces\(\mathcal L\)-random normed spaces

Mathematics Subject Classification ID

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) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10) Non-Archimedean valued fields (12J25) Non-Archimedean analysis (26E30)

Related Items (7)

Approximation of the multiplicatives on random multi-normed space ⋮ Approximation of functional equations in intuitionistic fuzzy C ∗ -algebras ⋮ Application of fixed point theory for approximating of a positive-additive functional equation in intuitionistic random C*-algebras ⋮ On the stability of cubic and quadratic mapping in random normed spaces under arbitrary \(T\)-norms ⋮ Unnamed Item ⋮ Random \(C^{*}\)-ternary algebras and application ⋮ Stability of Quadratic and Drygas Functional Equations, with an Application for Solving an Alternative Quadratic Equation

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