scholarly journals Stability Results in Intuitionistic Fuzzy Normed Spaces for a Cubic Functional Equation

2013 ◽  
Vol 7 (5) ◽  
pp. 1677-1684 ◽  
Author(s):  
M. Mursaleen ◽  
Khursheed J. Ansari
Keyword(s):  
Functional Equation ◽  
Normed Spaces ◽  
Cubic Functional Equation ◽  
Intuitionistic Fuzzy ◽  
Intuitionistic Fuzzy Normed Spaces ◽  
Stability Results

scholarly journals Ulam Stabilities and Instabilities of Euler–Lagrange-Rassias Quadratic Functional Equation in Non-Archimedean IFN spaces

Mathematics ◽  
2021 ◽  
Vol 9 (23) ◽  
pp. 3063
Author(s):  
Kandhasamy Tamilvanan ◽  
Abdulaziz Mohammed Alanazi ◽  
John Michael Rassias ◽  
Ali H. Alkhaldi
Keyword(s):  
Functional Equation ◽  
Fixed Point ◽  
Quadratic Functional Equation ◽  
Quadratic Functional ◽  
Quadratic Mapping ◽  
Normed Spaces ◽  
Intuitionistic Fuzzy ◽  
Fixed Point Techniques ◽  
Intuitionistic Fuzzy Normed Spaces ◽  
Stability Results

In this paper, we use direct and fixed-point techniques to examine the generalised Ulam–Hyers stability results of the general Euler–Lagrange quadratic mapping in non-Archimedean IFN spaces (briefly, non-Archimedean Intuitionistic Fuzzy Normed spaces) over a field.

scholarly journals Intuitionistic Fuzzy Stability of Functional Equations Associated with Inner Product Spaces

2011 ◽  
Vol 2011 ◽  
pp. 1-19 ◽  
Author(s):  
Zhihua Wang ◽  
Themistocles M. Rassias
Keyword(s):  
Functional Equation ◽  
Functional Equations ◽  
Inner Product ◽  
Product Spaces ◽  
Normed Spaces ◽  
Inner Product Spaces ◽  
Intuitionistic Fuzzy ◽  
Stability Of Functional Equations ◽  
Intuitionistic Fuzzy Normed Spaces ◽  
Stability Results

In intuitionistic fuzzy normed spaces, we investigate some stability results for the functional equation which is said to be a functional equation associated with inner products space.

scholarly journals An additive-quadratic functional equation in intuitionistic fuzzy normed spaces

10.26524/cm83 ◽  
2020 ◽  
Vol 4 (2) ◽  
Author(s):  
Soundararajan S ◽  
Suresh Kumar M ◽  
Sudhakar R
Keyword(s):  
Functional Equation ◽  
Quadratic Functional Equation ◽  
Quadratic Functional ◽  
Normed Spaces ◽  
Intuitionistic Fuzzy ◽  
The Stability ◽  
Intuitionistic Fuzzy Normed Spaces

In this work, we investigate the stability of additive-quadratic (AQ) functional equation in intuitionistic fuzzy normed spaces

scholarly journals Stability of General Cubic Mapping in Fuzzy Normed Spaces

2012 ◽  
Vol 20 (1) ◽  
pp. 129-150 ◽  
Author(s):  
S. Javadi ◽  
J. M. Rassias
Keyword(s):  
Functional Equation ◽  
Normed Spaces ◽  
Existence Of A Solution ◽  
Cubic Functional Equation ◽  
Cubic Function ◽  
Stability Results

Abstract We establish some stability results concerning the general cubic functional equation f(x + ky) - kf(x + y) + kf(x - y) - f(x - ky) = 2k(k2 - 1)f(y) for fixed k ℕ\{1} in the fuzzy normed spaces. More precisely, we show under some suitable conditions that an approximately cubic function can be approximated by a cubic mapping in a fuzzy sense and we establish that the existence of a solution for any approximately cubic mapping guarantees the completeness of the fuzzy normed spaces

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