ADDITIVE-QUARTIC FUNCTIONAL EQUATION IN NON-ARCHIMEDEAN ORTHOGONALITY SPACES

DOI10.11568/kjm.2012.20.1.033OpenAlexW4239448697MaRDI QIDQ5863382

Seung Yeon Kang, Seonwoo Kim, Hyunju Lee, Bum Joon Son, Dong Hwan Lee

Publication date: 11 March 2022

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

Full work available at URL: https://doi.org/10.11568/kjm.2012.20.1.033

zbMATH Keywords

Hyers-Ulam stabilitynon-Archimedean normed spaceorthogonality spaceorthogonally additive-quartic functional equation

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) Special maps on metric spaces (54E40) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10) Systems of functional equations and inequalities (39B72) Non-Archimedean valued fields (12J25) Orthogonal additivity and other conditional functional equations (39B55) Non-Archimedean analysis (26E30)

Related Items (3)

Characterization and stability of multimixed additive-quartic mappings: a fixed point application ⋮ Approximating an advanced multi-dimensional reciprocal-quadratic mapping via a fixed point approach ⋮ Unnamed Item

Cites Work

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• Quartic functional equations
• Sesquilinear-orthogonally quadratic mappings
• On the representation of non-Archimedean objects
• A Mazur--Ulam theorem in non-Archimedean normed spaces
• On orthogonally additive mappings
• Orthogonally additive and orthogonally increasing functions on vector spaces
• On some non-Archimedian spaces of Alexandroff and Urysohn
• The problem of S. M. Ulam for approximately multiplicative mappings
• On the stability of functional equations in Banach spaces
• On orthogonally additive mappings. IV
• Functional equations on A-orthogonal vectors
• Conditional functional equations and orthogonal additivity
• On the stability of the orthogonal pexiderized Cauchy equation
• Orthogonal stability of additive type equations
• Orthogonality in linear metric spaces
• A New Orthogonality Relation for Normed Linear Spaces
• Generalized Hyers–Ulam stability of an Euler–Lagrange type additive mapping
• Proprieta’ locali e approssimazione di operatori
• On the Stability of the Linear Mapping in Banach Spaces
• On the asymptoticity aspect of Hyers-Ulam stability of mappings
• Orthogonality and Nonlinear Functionals on Banach Spaces
• On the orthogonal stability of the pexiderized quadratic equation
• Orthogonality and Linear Functionals in Normed Linear Spaces
• Orthogonality in normed linear spaces
• Remarks on the stability of functional equations
• On the stability of the quadratic mapping in normed spaces

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