A FIXED-POINT METHOD FOR PERTURBATION OF HIGHER RING DERIVATIONS IN NON-ARCHIMEDEAN BANACH ALGEBRAS-Reference-Cited by-同舟云学术

A FIXED-POINT METHOD FOR PERTURBATION OF HIGHER RING DERIVATIONS IN NON-ARCHIMEDEAN BANACH ALGEBRAS

Published:2011-11 Issue:07 Volume:08 Page:1611-1625
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

GORDJI M. ESHAGHI¹²,GHAEMI M. B.³,ALIZADEH B.⁴

Affiliation:

1. Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran

2. Center of Excellence in Nonlinear Analysis and Applications (CENAA), Semnan University, Semnan, Iran

3. Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran

4. Tabriz College of Technology, P. O. Box 51745-135, Tabriz, Iran

Abstract

In this paper, we investigate the generalized Hyres–Ulam–Rassias stability and Bourgin-type superstability of higher derivations in non-Archimedean Banach algebras by using a version of fixed-point theorem.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021988781100583X

Reference51 articles.

1. Functional Equations in Several Variables

2. Stability of the Cauchy Functional Equation over p-Adic Fields

3. Approximate ternary Jordan derivations on Banach ternary algebras

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