scholarly journals Fixed points and stability of the Cauchy–Jensen functional inequality in fuzzy Banach algebras

2011 ◽  
Vol 24 (12) ◽  
pp. 2024-2029 ◽  
Author(s):  
Choonkil Park
Keyword(s):  
Fixed Points ◽  
Banach Algebras ◽  
Functional Inequality ◽  
Jensen Functional

Approximate Higher Ring Derivations in Non-Archimedean Banach Algebras

2015 ◽  
Vol 65 (1) ◽  
Author(s):  
Ick-Soon Chang ◽  
Badrkhan Alizadeh ◽  
M. Eshaghi Gordji ◽  
Hark-Mahn Kim
Keyword(s):  
Banach Algebras ◽  
Functional Inequality ◽  
Jensen Functional ◽  
The Stability

AbstractIn this paper, we prove the stability of higher ring derivations associated with a general Cauchy-Jensen functional inequality in the class of mappings from non-Archimedean normed algebras to non-Archimedean Banach algebras.

Fixed points and stability for quartic mappings in β-Normed left Banach modules on Banach algebras

2013 ◽  
Vol 33 (4) ◽  
pp. 1113-1118 ◽  
Author(s):  
H. Azadi KENARY ◽  
A.R. ZOHDI ◽  
M. Eshaghi GORDJI
Keyword(s):  
Fixed Points ◽  
Banach Algebras ◽  
Banach Modules

scholarly journals Hyers-Ulam Stability of Jensen Functional Inequality inp-Banach Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-16 ◽  
Author(s):  
Hark-Mahn Kim ◽  
Kil-Woung Jun ◽  
Eunyoung Son
Keyword(s):  
Banach Spaces ◽  
Functional Inequality ◽  
Ulam Stability ◽  
Nonzero Integer ◽  
Jensen Functional

We prove the Hyers-Ulam stability of the following Jensen functional inequality∥f((x-y)/n+z)+f((y-z)/n+x)+f((z-x)/n+y)∥≤∥f((x+y+z)∥inp-Banach spaces for any fixed nonzero integern.

ON APPROXIMATE n-ARY DERIVATIONS

2011 ◽  
Vol 08 (03) ◽  
pp. 485-500 ◽  
Author(s):  
M. ESHAGHI GORDJI ◽  
R. KHODABAKHSH ◽  
H. KHODAEI
Keyword(s):  
Functional Equation ◽  
Fixed Point ◽  
Banach Algebras ◽  
C Algebras ◽  
Jensen Functional Equation ◽  
Jensen Functional ◽  
Ternary Algebras ◽  
Fixed Point Methods ◽  
The Stability

C. Park et al. proved the stability of homomorphisms and derivations in Banach algebras, Banach ternary algebras, C*-algebras, Lie C*-algebras and C*-ternary algebras. In this paper, we improve and generalize some results concerning derivations. We first introduce the following generalized Jensen functional equation [Formula: see text] and using fixed point methods, we prove the stability of n-ary derivations and n-ary Jordan derivations in n-ary Banach algebras. Secondly, we study this functional equation with *-n-ary derivations in C*-n-ary algebras.

Fixed Points and Stability for Quadratic Mappings in β–Normed Left Banach Modules on Banach Algebras

2011 ◽  
Vol 61 (3-4) ◽  
pp. 393-400 ◽  
Author(s):  
M. Eshaghi. Gordji ◽  
H. Khodaei ◽  
Th. M. Rassias
Keyword(s):  
Fixed Points ◽  
Banach Algebras ◽  
Quadratic Mappings ◽  
Banach Modules
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