Ulam Stabilities of Multiplicative Inverse Type Novemdecic and Vigintic Functional Equations in Intuitionistic Fuzzy Normed Spaces

2020 ◽  
pp. 57-73
Author(s):  
B. V. Senthil Kumar ◽  
Hemen Dutta
Keyword(s):  
Functional Equations ◽  
Normed Spaces ◽  
Multiplicative Inverse ◽  
Intuitionistic Fuzzy ◽  
Intuitionistic Fuzzy Normed Spaces

A FIXED POINT APPROACH TO THE STABILITY OF GENERAL QUADRATIC EULER-LAGRANGE FUNCTIONAL EQUATIONS IN INTUITIONISTIC FUZZY SPACES

2016 ◽  
pp. 4430-4436
Author(s):  
Seong Sik Kim ◽  
Ga Ya Kim
Keyword(s):  
Fixed Point ◽  
Functional Equations ◽  
Fixed Point Method ◽  
Ulam Stability ◽  
Normed Spaces ◽  
Fixed Point Approach ◽  
Intuitionistic Fuzzy ◽  
The Stability ◽  
Lagrange Functional ◽  
Intuitionistic Fuzzy Normed Spaces

In this paper, we prove the generalized Hyers-Ulam stability of a general k-quadratic Euler-Lagrange functional equation:for any fixed positive integer in intuitionistic fuzzy normed spaces using a fixed point method.

scholarly journals Stability of Various Functional Equations in Non-Archimedean Intuitionistic Fuzzy Normed Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-16 ◽  
Author(s):  
Syed Abdul Mohiuddine ◽  
Abdullah Alotaibi ◽  
Mustafa Obaid
Keyword(s):  
Normed Space ◽  
Functional Equations ◽  
Normed Spaces ◽  
Fuzzy Normed Space ◽  
Intuitionistic Fuzzy ◽  
Intuitionistic Fuzzy Normed Space ◽  
The Stability ◽  
Intuitionistic Fuzzy Normed Spaces ◽  
Stability Results

We define and study the concept of non-Archimedean intuitionistic fuzzy normed space by using the idea oft-norm andt-conorm. Furthermore, by using the non-Archimedean intuitionistic fuzzy normed space, we investigate the stability of various functional equations. That is, we determine some stability results concerning the Cauchy, Jensen and its Pexiderized functional equations in the framework of non-Archimedean IFN spaces.

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 Intuitionistic fuzzy stability of Jensen-type quadratic functional equations

Filomat ◽  
2014 ◽  
Vol 28 (4) ◽  
pp. 663-676 ◽  
Author(s):  
Zhihua Wang ◽  
Themistocles Rassias ◽  
Reza Saadati
Keyword(s):  
Real Number ◽  
Functional Equations ◽  
Quadratic Functional ◽  
Normed Spaces ◽  
Intuitionistic Fuzzy ◽  
Nonzero Real Number ◽  
Intuitionistic Fuzzy Normed Spaces ◽  
Stability Results

In this paper, we prove some stability results for Jensen-type quadratic functional equations 2f (x+y/2)+ 2f (x-y/2) = f (x) + f (y), f (ax+ay) + f (ax-ay) = 2a2f(x) + 2a2 f(y) in intuitionistic fuzzy normed spaces for a nonzero real number a with a ? ?1/2

Sign in / Sign up

Export Citation Format

Share Document