Generalized Ulam–Hyers stability of random homomorphisms in random normed algebras associated with the Cauchy functional equation

Choonkil Park; Jung Rye Lee; Dong Yun Shin

doi:10.1016/j.aml.2011.08.018

Generalized Ulam–Hyers stability of random homomorphisms in random normed algebras associated with the Cauchy functional equation

Applied Mathematics Letters ◽

10.1016/j.aml.2011.08.018 ◽

2012 ◽

Vol 25 (2) ◽

pp. 200-205 ◽

Cited By ~ 5

Author(s):

Choonkil Park ◽

Jung Rye Lee ◽

Dong Yun Shin

Keyword(s):

Functional Equation ◽

Cauchy Functional Equation

Download Full-text

Remarks on the Cauchy functional equation and variations of it

Aequationes Mathematicae ◽

10.1007/s00010-016-0463-6 ◽

2017 ◽

Vol 91 (2) ◽

pp. 237-264 ◽

Cited By ~ 6

Author(s):

Daniel Reem

Keyword(s):

Functional Equation ◽

Cauchy Functional Equation

Download Full-text

Generalized Cauchy functional equation and characterizations of inner product spaces

Aequationes Mathematicae ◽

10.1007/bf01835700 ◽

1992 ◽

Vol 43 (2-3) ◽

pp. 183-190 ◽

Cited By ~ 1

Author(s):

Damjan Kobal ◽

Peter Šemrl

Keyword(s):

Functional Equation ◽

Inner Product ◽

Product Spaces ◽

Cauchy Functional Equation ◽

Inner Product Spaces

Download Full-text

A note on an integrated cauchy functional equation

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/bf02009743 ◽

1989 ◽

Vol 5 (2) ◽

pp. 105-109

Author(s):

Kasing Lau ◽

Huamin Gu

Keyword(s):

Functional Equation ◽

Cauchy Functional Equation

Download Full-text

A General Fixed Point Method for the Stability of Cauchy Functional Equation

Functional Equations in Mathematical Analysis - Springer Optimization and Its Applications ◽

10.1007/978-1-4614-0055-4_3 ◽

2011 ◽

pp. 19-32 ◽

Cited By ~ 3

Author(s):

Liviu Cădariu ◽

Viorel Radu

Keyword(s):

Functional Equation ◽

Fixed Point ◽

Fixed Point Method ◽

Point Method ◽

Cauchy Functional Equation ◽

The Stability

Download Full-text

Additive Cauchy Functional Equation

Introduction to Functional Equations ◽

10.1201/b10722-2 ◽

2011 ◽

pp. 1-23

Keyword(s):

Functional Equation ◽

Cauchy Functional Equation ◽

Additive Cauchy Functional Equation

Download Full-text

Hyers-Ulam--Rassias stability of Pexiderized Cauchy functional equation in 2-Banach spaces

10.22436/jnsa.005.06.06 ◽

2012 ◽

Vol 05 (06) ◽

pp. 459-465 ◽

Cited By ~ 11

Author(s):

G.Zamani Eskandani ◽

P. Gavruta

Keyword(s):

Functional Equation ◽

Banach Spaces ◽

Cauchy Functional Equation ◽

Pexiderized Cauchy Functional Equation ◽

Rassias Stability

Download Full-text

Some Observations on the Integrated Cauchy Functional Equation

Mathematische Nachrichten ◽

10.1002/mana.19921570114 ◽

1992 ◽

Vol 157 (1) ◽

pp. 185-195 ◽

Cited By ~ 2

Author(s):

D. N. Shanbhag ◽

C. Radhakrishna Rao

Keyword(s):

Functional Equation ◽

Cauchy Functional Equation

Download Full-text

Cauchy functional equation on a restricted domain and commuting functions

Lecture Notes in Mathematics - Iteration Theory and its Functional Equations ◽

10.1007/bfb0076422 ◽

1985 ◽

pp. 101-106 ◽

Cited By ~ 7

Author(s):

Janusz Matkowski

Keyword(s):

Functional Equation ◽

Restricted Domain ◽

Cauchy Functional Equation

Download Full-text

Fixed Points and Stability of the Cauchy Functional Equation in Lie C * -Algebras

Nonlinear Analysis and Variational Problems - Springer Optimization and Its Applications ◽

10.1007/978-1-4419-0158-3_10 ◽

2009 ◽

pp. 111-124

Author(s):

Choonkil Park ◽

Jianlian Cui

Keyword(s):

Functional Equation ◽

Fixed Points ◽

Cauchy Functional Equation ◽

C Algebras

Download Full-text

On the stability of the additive Cauchy functional equation in random normed spaces

Applied Mathematics Letters ◽

10.1016/j.aml.2011.05.033 ◽

2011 ◽

Vol 24 (12) ◽

pp. 2005-2009 ◽

Cited By ~ 11

Author(s):

Dorel Miheţ ◽

Reza Saadati

Keyword(s):

Functional Equation ◽

Normed Spaces ◽

Cauchy Functional Equation ◽

Random Normed Spaces ◽

The Stability ◽

Additive Cauchy Functional Equation

Download Full-text