On hyperstability of Cauchy functional equation in (2,\(\gamma\))-Banach spaces

Volume 23, Issue 4, pp 354--363 http://dx.doi.org/10.22436/jmcs.023.04.08
Publication Date: November 26, 2020 Submission Date: October 14, 2020 Revision Date: October 15, 2020 Accteptance Date: October 18, 2020

Authors

El-Sayed El-Hady - Mathematics Department, College of Science, Jouf University, P.O. Box: 2014, Sakaka, Saudi Arabia. - asic Science Department, Faculty of Computers and Informatics, Suez Canal University, Ismailia, 41522, Egypt.


Abstract

In this paper, we generalize the recent hyperstability results obtained by Brzd{\k{e}}k and concerning the Cauchy functional equation \[f(x_1+x_2)=f(x_1)+f(x_2).\] The obtained results are in (2,\(\gamma\))-Banach spaces. The main tool used in the analysis is some fixed point theorem.


Share and Cite

  • Share on Facebook
  • Share on Twitter
  • Share on LinkedIn
ISRP Style

El-Sayed El-Hady, On hyperstability of Cauchy functional equation in (2,\(\gamma\))-Banach spaces, Journal of Mathematics and Computer Science, 23 (2021), no. 4, 354--363

AMA Style

El-Hady El-Sayed, On hyperstability of Cauchy functional equation in (2,\(\gamma\))-Banach spaces. J Math Comput SCI-JM. (2021); 23(4):354--363

Chicago/Turabian Style

El-Hady, El-Sayed. "On hyperstability of Cauchy functional equation in (2,\(\gamma\))-Banach spaces." Journal of Mathematics and Computer Science, 23, no. 4 (2021): 354--363


Keywords


MSC


References