STABILITY OF TERNARY QUADRATIC DERIVATION ON TERNARY BANACH ALGEBRAS.

S Shagholi, ME Gordji… - … Analysis & Applications, 2011 - search.ebscohost.com
Let A be a ternary Banach algebra with norm||-||< sub> A and B be a ternary Banach algebra
with norm||-||< sub> B. A mapping D: A→ B is called a ternary quadratic derivation if D be a …

[HTML][HTML] Hyers–Ulam stability of additive set-valued functional equations

G Lu, C Park - Applied Mathematics Letters, 2011 - Elsevier
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NEARLY TERNARY CUBIC HOMOMORPHISM IN TERNARY FRÉCHET ALGEBRAS.

S Shagholi, ME Gordji… - … Analysis & Applications, 2011 - search.ebscohost.com
Let A, B be two ternary algebras. A mapping H: A→ B is called a ternary cubic
homomorphism if H is a cubic function, which satisfies: H ([x, y, z])=[H (x), H (y), H (z)] for all …

[HTML][HTML] Approximation of radical functional equations related to quadratic and quartic mappings

H Khodaei, ME Gordji, SS Kim, YJ Cho - Journal of mathematical analysis …, 2012 - Elsevier
In this paper, we introduce and solve of the radical quadratic and radical quartic functional
equations: We also establish some stability results in 2-normed spaces and then the stability …

Fixed point method for set-valued functional equations

C Park - Journal of Fixed Point Theory and Applications, 2017 - Springer
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Fixed Point Approach: Ulam Stability Results of Functional Equation in Non-Archimedean Fuzzy φ-2-Normed Spaces and Non-Archimedean Banach Spaces

K Tamilvanan, AH Alkhaldi, RP Agarwal, AM Alanazi - Mathematics, 2023 - mdpi.com
In this work, we introduce a new type of generalized mixed-type quadratic-additive functional
equation and obtain its general solution. The main goal of this work is to investigate Ulam …

A fixed point method for perturbation of bimultipliers and Jordan bimultipliers in C∗-ternary algebras

A Ebadian, N Ghobadipour… - Journal of Mathematical …, 2010 - pubs.aip.org
Let A be a C∗-ternary algebra. A C-bilinear T: A× A→ A is called a C∗-ternary algebra bi-
multiplier, if it satisfies T ([abc], d)=[T (a, b) cd]⁠, T (a,[bcd])=[ab T (c, d)] for all a, b, c, d∊ A⁠ …

Hyers-Ulam stability of functional equations in matrix normed spaces

JR Lee, DY Shin, C Park - Journal of Inequalities and Applications, 2013 - Springer
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A fixed-point method for perturbation of higher ring derivations in non-Archimedean Banach algebras

ME Gordji, MB Ghaemi, B Alizadeh - International Journal of …, 2011 - World Scientific
A FIXED-POINT METHOD FOR PERTURBATION OF HIGHER RING DERIVATIONS IN NON-ARCHIMEDEAN
BANACH ALGEBRAS Page 1 International Journal of Geometric Methods in Modern Physics …

Stability of multi-Jensen mappings in non-Archimedean normed spaces

TZ Xu - Journal of Mathematical Physics, 2012 - pubs.aip.org
In 1897, Hensel discovered the p-adic numbers as a number theoretical analogue of power
series in complex analysis. The most important examples of non-Archimedean spaces are p …