scholarly journals Solution of a 3-D cubic functional equation and its stability

2020 ◽  
Vol 5 (3) ◽  
pp. 1693-1705 ◽  
Author(s):  
Vediyappan Govindan ◽  
◽  
Choonkil Park ◽  
Sandra Pinelas ◽  
S. Baskaran ◽  
...  
Keyword(s):  
Functional Equation ◽  
Cubic Functional Equation

Stability and non-stability of generalized radical cubic functional equation in quasi-$\beta$-Banach spaces

2019 ◽  
Vol 12 (3) ◽  
pp. 175-190
Author(s):  
Iz-iddine EL-Fassi ◽  
John Michael Rassias
Keyword(s):  
Functional Equation ◽  
Banach Spaces ◽  
Cubic Functional Equation

Stability of preserving lattice cubic functional equation in Menger probabilistic normed Riesz spaces

2018 ◽  
Vol 20 (1) ◽  
Author(s):  
Seyed Mohammad Sadegh Modarres Mosadegh ◽  
Ehsan Movahednia
Keyword(s):  
Functional Equation ◽  
Cubic Functional Equation ◽  
Riesz Spaces

scholarly journals Hyperstability of the k -Cubic Functional Equation in Non-Archimedean Banach Spaces

2020 ◽  
Vol 2020 ◽  
pp. 1-10
Author(s):  
Youssef Aribou ◽  
Mohamed Rossafi
Keyword(s):  
Functional Equation ◽  
Fixed Point ◽  
Positive Integer ◽  
Banach Spaces ◽  
Functional Equations ◽  
Cubic Functional Equation ◽  
Fixed Point Approach ◽  
Fixed Positive Integer

Using the fixed point approach, we investigate a general hyperstability results for the following k -cubic functional equations f k x + y + f k x − y = k f x + y + k f x − y + 2 k k 2 − 1 f x , where k is a fixed positive integer ≥ 2 , in ultrametric Banach spaces.

GENERALIZED HYERS-ULAM STABILITY FOR A GENERAL CUBIC FUNCTIONAL EQUATION IN QUASI-β-NORMED SPACES

2011 ◽  
Vol 04 (03) ◽  
pp. 413-425 ◽  
Author(s):  
G. Z. Eskandani ◽  
J. M. Rassias ◽  
P. Gavruta
Keyword(s):  
Functional Equation ◽  
Ulam Stability ◽  
Normed Spaces ◽  
Cubic Functional Equation

In this paper, we investigate the generalized Hyers-Ulam stability of the following general cubic functional equation [Formula: see text] (k ∈ ℕ, k ≠ 1) in quasi-β-normed spaces and by a counterexample, we will show that this functional equation in a special condition is not stabile.

Generalized Hyers-Ulam stability of a general mixed additive-cubic functional equation in quasi-Banach spaces

2011 ◽  
Vol 28 (3) ◽  
pp. 529-560 ◽  
Author(s):  
Tian Zhou Xu ◽  
John Michael Rassias ◽  
Wan Xin Xu
Keyword(s):  
Functional Equation ◽  
Banach Spaces ◽  
Ulam Stability ◽  
Cubic Functional Equation

STABILITY OF A CUBIC FUNCTIONAL EQUATION IN 2-NORMED SPACES

2014 ◽  
Vol 32 (5_6) ◽  
pp. 817-825 ◽  
Author(s):  
Chang Il Kim ◽  
Kap Hun Jung
Keyword(s):  
Functional Equation ◽  
Normed Spaces ◽  
Cubic Functional Equation

On the Hyers-Ulam-Rassias stability of an additive-cubic functional equation

2019 ◽  
Vol 13 (5) ◽  
pp. 213-221
Author(s):  
Sun-Sook Jin ◽  
Yang-Hi Lee
Keyword(s):  
Functional Equation ◽  
Cubic Functional Equation ◽  
Rassias Stability

Cubic Functional Equations on Restricted Domains of Lebesgue Measure Zero

2017 ◽  
Vol 60 (1) ◽  
pp. 95-103 ◽  
Author(s):  
Chang-Kwon Choi ◽  
Jaeyoung Chung ◽  
Yumin Ju ◽  
John Rassias
Keyword(s):  
Banach Space ◽  
Functional Equation ◽  
Lebesgue Measure ◽  
Stability Problem ◽  
Functional Equations ◽  
Measure Zero ◽  
Stability Theorem ◽  
Cubic Functional Equation ◽  
Real Normed Space ◽  
Restricted Domains

AbstractLet X be a real normed space, Y a Banach space, and f : X → Y. We prove theUlam–Hyers stability theorem for the cubic functional equationin restricted domains. As an application we consider a measure zero stability problem of the inequalityfor all (x, y) in Γ ⸦ ℝ2 of Lebesgue measure 0.

scholarly journals Stability of Cubic Functional Equation in the Spaces of Generalized Functions

2007 ◽  
Vol 2007 (1) ◽  
pp. 079893 ◽  
Author(s):  
Young-Su Lee ◽  
Soon-Yeong Chung
Keyword(s):  
Functional Equation ◽  
Generalized Functions ◽  
Cubic Functional Equation
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