CFP last date
20 January 2025
Call for Paper
February Edition
IJCA solicits high quality original research papers for the upcoming February edition of the journal. The last date of research paper submission is 20 January 2025

Submit your paper
Know more
The week's pick
Responsive image
SFLA-Based Line Balancing and Task Optimization in Master-Slave Controlled Hanger Transportation Systems for Garment Production

Duc Hoang Nguyen
Random Articles
Reseach Article

Hyers-Ulam-Rassias Stability of Quadratic Functional Equations in 2-Banach Spaces

by Manoj Kumar, Renu Chugh, Ashish
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 63 - Number 8
Year of Publication: 2013
Authors: Manoj Kumar, Renu Chugh, Ashish
10.5120/10483-5225

Manoj Kumar, Renu Chugh, Ashish . Hyers-Ulam-Rassias Stability of Quadratic Functional Equations in 2-Banach Spaces. International Journal of Computer Applications. 63, 8 ( February 2013), 1-4. DOI=10.5120/10483-5225

@article{ 10.5120/10483-5225,
author = { Manoj Kumar, Renu Chugh, Ashish },
title = { Hyers-Ulam-Rassias Stability of Quadratic Functional Equations in 2-Banach Spaces },
journal = { International Journal of Computer Applications },
issue_date = { February 2013 },
volume = { 63 },
number = { 8 },
month = { February },
year = { 2013 },
issn = { 0975-8887 },
pages = { 1-4 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume63/number8/10483-5225/ },
doi = { 10.5120/10483-5225 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:13:35.075930+05:30
%A Manoj Kumar
%A Renu Chugh
%A Ashish
%T Hyers-Ulam-Rassias Stability of Quadratic Functional Equations in 2-Banach Spaces
%J International Journal of Computer Applications
%@ 0975-8887
%V 63
%N 8
%P 1-4
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, using the direct method we study the generalized Hyers-Ulam-Rassias stability of the following quadratic functional equations and for the mapping f from normed linear space in to 2-Banach spaces.

References
  1. A. White, 2-Banach spaces, Doctorial Diss. , St. Louis Univ. , 1968.
  2. A. White, 2-Banach spaces, Math. Nachr. (42) (1969), pp. 43–60.
  3. D. H. Hyers, On the stability of the linear functional equation, Proc. Nat. Acad. Sci. (27) (1941), pp. 222–224.
  4. H. A. Kenary, D. Y. Shin, J. R. Lee and H. Hoseini, Fixed Point and Hyers-Ulam stability of functional equations, (5) (37) (2011), pp. 1827-1833.
  5. I. S. Chang and H. M. Kim, On the Hyers-Ulam-Rassias stability of quadratic functional equations, J. Ineq. Pure and Appl. Math. , (3) (3) (2002), pp. 1-12.
  6. P. Gavruta, A Generalization of the Hyers-Ulam-Rassias Stability of Approximately Additive Mappings, J. Math. Anal. Appl. (184) (1994), pp. 431–436.
  7. S. G¨ahler, 2-metrische R¨aume und ihre topologische Struktur, Math. Nachr. (26) (1963), pp. 115–148.
  8. S. G¨ahler, Lineare 2-normierte R¨aumen, Math. Nachr. (28) (1964), pp. 1–43.
  9. S. G¨ahler, Uber ¨ 2-Banach-R¨aume, Math. Nachr. (42) (1969), pp. 335–347.
  10. S. M. Ulam, A Collection of the Mathematical Problems, Interscience Publ. , New York, 1960.
  11. Th. M. Rassias, On the stability of the Linear mapping in Banach spaces, Procc. of the Amer. Math. Soc. , (72) (2) (1978), pp. 297-300.
  12. Th. M. Rassias, On the Stability of Functional Equations in Banach spaces, J. Math. Anal. Appl. , (251) (2000), pp. 264–284.
  13. W. -G. Park, Approximate additive mapping in 2-Banach spaces and related topics, J. Math. Anal. Appl. (376) (2011), pp. 193–202.
Index Terms

Computer Science
Information Sciences

Keywords

Linear 2-normed space 2-Banach spaces Quadratic functional equations Stability

Powered by PhDFocusTM