scholarly journals Fixed Points and Hyers-Ulam-Rassias Stability of Cauchy-Jensen Functional Equations in Banach Algebras

2007 ◽  
Vol 2007 (1) ◽  
pp. 050175 ◽  
Author(s):  
Choonkil Park
Keyword(s):  
Fixed Points ◽  
Functional Equations ◽  
Banach Algebras ◽  
Jensen Functional ◽  
Rassias Stability

Fixed points and functional equations connected with derivations on Banach algebras

2011 ◽  
Vol 134 (1-2) ◽  
pp. 193-208 ◽  
Author(s):  
Z. Alizadeh ◽  
M. Eshaghi Gordji ◽  
H. Khodaei
Keyword(s):  
Fixed Points ◽  
Functional Equations ◽  
Banach Algebras

scholarly journals Hyers–Ulam–Rassias Stability of Additive Mappings in Fuzzy Normed Spaces

2021 ◽  
Vol 2021 ◽  
pp. 1-6
Author(s):  
Jianrong Wu ◽  
Lingxiao Lu
Keyword(s):  
Functional Equations ◽  
Normed Spaces ◽  
Additive Mappings ◽  
Rassias Stability

In this paper, the Hyers–Ulam–Rassias stabilities of two functional equations, f a x + b y = r f x + s f y and f x + y + z = 2 f x + y / 2 + f z , are investigated in the framework of fuzzy normed spaces.

scholarly journals F-Metric, F-Contraction and Common Fixed-Point Theorems with Applications

Mathematics ◽  
2019 ◽  
Vol 7 (7) ◽  
pp. 586 ◽  
Author(s):  
Awais Asif ◽  
Muhammad Nazam ◽  
Muhammad Arshad ◽  
Sang Og Kim
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Functional Equations ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
The Third ◽  
Set Valued Mappings ◽  
Common Fixed Point Theorems

In this paper, we noticed that the existence of fixed points of F-contractions, in F -metric space, can be ensured without the third condition (F3) imposed on the Wardowski function F : ( 0 , ∞ ) → R . We obtain fixed points as well as common fixed-point results for Reich-type F-contractions for both single and set-valued mappings in F -metric spaces. To show the usability of our results, we present two examples. Also, an application to functional equations is presented. The application shows the role of fixed-point theorems in dynamic programming, which is widely used in computer programming and optimization. Our results extend and generalize the previous results in the existing literature.

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.

Stability of m-Jensen Functional Equations

2017 ◽  
Vol 24 (1) ◽  
pp. 1-12
Author(s):  
Teodoro Lara ◽  
Nelson Merentes ◽  
Roy Quintero ◽  
Edgar Rosales
Keyword(s):  
Functional Equations ◽  
Jensen Functional
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