random normed spaces
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scholarly journals Stability results of the functional equation deriving from quadratic function in random normed spaces

2021 ◽  
Vol 6 (3) ◽  
pp. 2385-2397
Author(s):  
Nazek Alessa ◽  
◽  
K. Tamilvanan ◽  
G. Balasubramanian ◽  
K. Loganathan ◽  
...  
Keyword(s):  
Functional Equation ◽  
Quadratic Function ◽  
Normed Spaces ◽  
Random Normed Spaces ◽  
Stability Results

scholarly journals Ulam stability of a functional equation deriving from quadratic and additive mappings in random normed spaces

2021 ◽  
Vol 6 (1) ◽  
pp. 908-924 ◽  
Author(s):  
Kandhasamy Tamilvanan ◽  
◽  
Jung Rye Lee ◽  
Choonkil Park ◽  
◽  
...  
Keyword(s):  
Functional Equation ◽  
Ulam Stability ◽  
Normed Spaces ◽  
Random Normed Spaces ◽  
Additive Mappings

scholarly journals The cubic ρ-functional equation in matrix non-Archimedean random normed spaces

Filomat ◽  
2020 ◽  
Vol 34 (8) ◽  
pp. 2643-2653
Author(s):  
Zhihua Wang ◽  
Chaozhu Hu
Keyword(s):  
Functional Equation ◽  
Fixed Point ◽  
Real Number ◽  
Direct Method ◽  
Fixed Point Method ◽  
Point Method ◽  
Ulam Stability ◽  
Normed Spaces ◽  
Cubic Functional Equation ◽  
Random Normed Spaces

Using the direct method and fixed point method, we investigate the Hyers-Ulam stability of the following cubic ?-functional equation f(x+2y) + f(x-2y)- 2f(x+y)-2f(x-y)-12f(x) = ?(4f(x+y/2) + 4f(x-y/2)-f(x+y)-f(x-y)-6f(x)) in matrix non-Archimedean random normed spaces, where ? is a fixed real number with ? ? 2.

scholarly journals GENERALIZED STABILITY OF AN ADDITIVE-QUADRATIC FUNCTIONAL EQUATION IN VARIOUS SPACES

2019 ◽  
Vol 24 (3) ◽  
Author(s):  
SHAYMAA ALSHYBANI
Keyword(s):  
Functional Equation ◽  
Fixed Point ◽  
Additive Mapping ◽  
Subject Classification ◽  
Quadratic Functional ◽  
Quadratic Mapping ◽  
Ulam Stability ◽  
Normed Spaces ◽  
Random Normed Spaces ◽  
Fixed Point Methods

  ABSTRACT. In this paper, using the direct and fixed point methods, we have established the generalized Hyers-Ulam stability of the following additive-quadratic functional equation in non-Archimedean and intuitionistic random normed spaces.   AMS 2010 Subject Classification: 39B82, 39B52, 46S40. Keywords. generalized Hyers-Ulam stability; additive mapping; quadratic mapping; non-Archimedean random normed spaces; intuitionistic random normed spaces; fixed point.

scholarly journals Random Stability of Quadratic Functional Equations

2019 ◽  
Vol 16 (1) ◽  
pp. 498-507
Author(s):  
Mee Kwang Kang
Keyword(s):  
Functional Equation ◽  
Positive Integer ◽  
Functional Equations ◽  
Quadratic Functional Equation ◽  
Quadratic Functional ◽  
Ulam Stability ◽  
Normed Spaces ◽  
Random Normed Spaces ◽  
Fixed Positive Integer

In this paper, we investigate the generalized Hyers-Ulam stability on random -normed spaces associated with the following generalized quadratic functional equation ,where  is a fixed positive integer via two methods

scholarly journals Generalized Hyers-Ulam stability of general cubic functional equation in random normed spaces

Filomat ◽  
2016 ◽  
Vol 30 (1) ◽  
pp. 89-98
Author(s):  
Seong Kim ◽  
John Rassias ◽  
Nawab Hussain ◽  
Yeol Cho
Keyword(s):  
Functional Equation ◽  
Ulam Stability ◽  
Normed Spaces ◽  
Cubic Functional Equation ◽  
Random Normed Spaces

In this paper, we investigate the generalized Hyers-Ulam stability of a general cubic functional equation: f(x+ky)-kf(x+y)+kf(x-y) -f(x-ky)=2k(k2-1)f(y) for fixed k ? Z+ with k ? 2 in random normed spaces.

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