A general system of Euler-Lagrange-type quadratic functional equations in Menger probabilistic non-Archimedean 2-normed spaces

DOI10.1155/2011/208163zbMath1227.39023OpenAlexW1991124791WikidataQ58654065 ScholiaQ58654065MaRDI QIDQ642692

Yeol Je Cho, Madjid Eshaghi-Gordji, Hamid Majani, Mohammad Bagher Ghaemi

Publication date: 27 October 2011

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/208163

zbMATH Keywords

systemgeneralized Hyers-Ulam-Rassias stabilityEuler-Lagrange-type quadratic functional equationsMenger probabilistic non-Archimedean-normed spacesnon-Archimedean 2-normed spaces

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) Systems of functional equations and inequalities (39B72) Functional analysis in probabilistic metric linear spaces (46S50)

Related Items

Stability of general multi-Euler-Lagrange quadratic functional equations in non-Archimedean fuzzy normed spaces, Nearly radical quadratic functional equations in \(p-2\)-normed spaces, THE GENERALIZED HYERS-ULAM STABILITY OF ADDITIVE FUNCTIONAL INEQUALITIES IN NON-ARCHIMEDEAN 2-NORMED SPACE

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