On a Mikusiński—Jensen Functional Equation

2002 ◽  
pp. 81-87
Author(s):  
Károly Lajkó ◽  
Zsolt Páles
Keyword(s):  
Functional Equation ◽  
Jensen Functional Equation ◽  
Jensen Functional

scholarly journals Stability of a Bi-Jensen Functional Equation II

2009 ◽  
Vol 2009 (1) ◽  
pp. 976284
Author(s):  
Kil-Woung Jun ◽  
Il-Sook Jung ◽  
Yang-Hi Lee
Keyword(s):  
Functional Equation ◽  
Jensen Functional Equation ◽  
Jensen Functional

scholarly journals Intuitionistic fuzzy almost Cauchy–Jensen mappings

2016 ◽  
Vol 49 (1) ◽  
Author(s):  
M. E. Gordji ◽  
S. Abbaszadeh
Keyword(s):  
Functional Equation ◽  
Ulam Stability ◽  
Intuitionistic Fuzzy ◽  
Jensen Functional Equation ◽  
Jensen Functional

AbstractIn this paper, we first investigate the Hyers–Ulam stability of the generalized Cauchy–Jensen functional equation of

scholarly journals On the Intuitionistic Fuzzy Stability of Ring Homomorphism and Ring Derivation

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Jaiok Roh ◽  
Ick-Soon Chang
Keyword(s):  
Functional Equation ◽  
Banach Algebra ◽  
Ring Homomorphism ◽  
Normed Algebra ◽  
Intuitionistic Fuzzy ◽  
Jensen Functional Equation ◽  
Jensen Functional ◽  
The Stability ◽  
Ring Derivation

We take into account the stability of ring homomorphism and ring derivation in intuitionistic fuzzy Banach algebra associated with the Jensen functional equation. In addition, we deal with the superstability of functional equationf(xy)=xf(y)+f(x)yin an intuitionistic fuzzy normed algebra with unit.

scholarly journals On Pexider Differences in Topological Vector Spaces

2011 ◽  
Vol 2011 ◽  
pp. 1-10
Author(s):  
Abbas Najati ◽  
M. R. Abdollahpour ◽  
Gwang Hui Kim
Keyword(s):  
Functional Equation ◽  
Normed Space ◽  
Rational Numbers ◽  
Vector Spaces ◽  
Cauchy Functional Equation ◽  
Topological Vector Spaces ◽  
Hausdorff Topological Vector Space ◽  
Jensen Functional Equation ◽  
Jensen Functional ◽  
Pexiderized Cauchy Functional Equation

Let be a normed space and a sequentially complete Hausdorff topological vector space over the field of rational numbers. Let and where . We prove that the Pexiderized Jensen functional equation is stable for functions defined on and taking values in . We consider also the Pexiderized Cauchy functional equation.

scholarly journals Generalized Ulam-Hyers Stability of Jensen Functional Equation in Šerstnev PN Spaces

2010 ◽  
Vol 2010 ◽  
pp. 1-14 ◽  
Author(s):  
M. Eshaghi Gordji ◽  
M. B. Ghaemi ◽  
H. Majani ◽  
C. Park
Keyword(s):  
Functional Equation ◽  
Jensen Functional Equation ◽  
Jensen Functional
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