Generalized Hyers-Ulam Stability Of Mixed Type Additive-Quadratic Functional Equation Of Random Homomorphisms In Random Normed Algebras-Reference-Cited by-同舟云学术

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Generalized Hyers-Ulam Stability Of Mixed Type Additive-Quadratic Functional Equation Of Random Homomorphisms In Random Normed Algebras

Published:2019-09-01 Issue:3 Volume:1294 Page:032004
ISSN:1742-6588
Container-title:Journal of Physics: Conference Series
language:
Short-container-title:J. Phys.: Conf. Ser.

Author:

Alshybani Shaymaa,Mansour Vaezpour S,Jaafar Mahmood Sahar

Abstract

Abstract In this paper, by the fixed point method, we prove the generalized stability of random homomorphisms of the following additive-quadratic functional equation f(2 + y) + f(2 − y) = 2[f(x + y) + f(x − y)] + 2[f(x) + f(−x)] − [f(y) + f(−y)], in random normed algebras.

Publisher

IOP Publishing

Subject

General Physics and Astronomy

Link

https://iopscience.iop.org/article/10.1088/1742-6596/1294/3/032004/pdf

Reference23 articles.

1. Generalized Hyers-Ulam stability of mixed type additive –quadratic functional equation in random normed spaces;ALshybani;Journal of Mathematical Analysis,2017

2. Generalized Hyers-Ulam stability of sextic functional equation in random normed spaces;ALshybani;J. Computational analysis and APPLICATIONS,2018

3. On the definition of a probabilistic normed space;Alsina;Aequationes Math.,1993

4. Fixed points and the stability of Jensen’s functional equation;Cadariul;J. Inequal. Pure Appl. Math.,2003

5. Fixed points and generalized stability for functional equations in abstract spaces;Cadariul;J. Math. Inequal.,2009

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