Fixed points and approximately octic mappings in non-Archimedean 2-normed spaces

DOI10.1186/1029-242X-2012-289zbMath1280.39019OpenAlexW2111083443WikidataQ59288387 ScholiaQ59288387MaRDI QIDQ388067

Mohammad Bagher Ghaemi, Hamid Majani, Madjid Eshaghi-Gordji, Chun-Gil Park

Publication date: 18 December 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-2012-289

zbMATH Keywords

Hyers-Ulam stabilityfixed point methodnon-Archimedean 2-normed spaceoctic functional equationsystem of additive-cubic-quartic functional equations

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)

Related Items (5)

Additive \(\rho \)-functional inequalities in non-Archimedean 2-normed spaces ⋮ On the stability of a \(k\)-cubic functional equation in intuitionistic fuzzy \(n\)-normed spaces ⋮ Approximate mixed type quadratic-cubic functional equation ⋮ Stability and nonstability of octadecic functional equation in multi-normed spaces ⋮ THE GENERALIZED HYERS-ULAM STABILITY OF ADDITIVE FUNCTIONAL INEQUALITIES IN NON-ARCHIMEDEAN 2-NORMED SPACE

Cites Work

• Quartic functional equations
• Approximate additive mappings in 2-Banach spaces and related topics
• On approximate additive-quartic and quadratic-cubic functional equations in two variables on Abelian groups
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• The generalized Hyers--Ulam--Rassias stability of a cubic functional equation
• Strange Terrain--Nonarchimedean Spaces
• Bounded 2-linear operators on 2-normed sets
• Lineare 2‐normierte Räume
• 2‐Banach Spaces
• Über 2‐BANACH‐Räume
• 2‐metrische Räume und ihre topologische Struktur
• On the Stability of the Linear Functional Equation

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