Fixed points and quadratic equations connected with homomorphisms and derivations on non-Archimedean algebras
- Title
- Fixed points and quadratic equations connected with homomorphisms and derivations on non-Archimedean algebras
- Author
- 박춘길
- Keywords
- fixed point approach; non-Archimedean algebra; quadratic homomorphism; quadratic derivation; stability
- Issue Date
- 2012-07
- Publisher
- SPRINGER INTERNATIONAL PUBLISHING AG, GEWERBESTRASSE 11, CHAM, CH-6330, SWITZERLAND
- Citation
- Advances in Difference Equations ico_openaccess, 2012권, 1호, 1-10
- Abstract
- We apply the fixed point method to prove the stability of the systems of functional equations{f(xy) = f(x)f(y);f(ax + by) + f(ax - by) = 2a(2)f(x) + 2b(2)f(y),{f(xy) = x(2)f(y) + f(x)y(2);f(ax + by) + f(ax - by) = 2a(2)f(x) + 2b(2)f(y),on non-Archimedean Banach algebras. Moreover, we give some applications of our results in non-Archimedean Banach algebras over p-adic numbers.
- URI
- https://advancesindifferenceequations.springeropen.com/articles/10.1186/1687-1847-2012-128http://hdl.handle.net/20.500.11754/38060
- ISSN
- 1687-1847
- DOI
- 10.1186/1687-1847-2012-128
- Appears in Collections:
- COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
- Files in This Item:
- Fixed points and quadratic equations connected with homomorphisms and derivations on non-Archimedean algebras.pdfDownload
- Export
- RIS (EndNote)
- XLS (Excel)
- XML