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A fixed point approach to the stability of functional equations in non-Archimedean metric spaces
- Source :
-
Nonlinear Analysis . Dec2011, Vol. 74 Issue 18, p6861-6867. 7p. - Publication Year :
- 2011
-
Abstract
- Abstract: In this note, we prove a simple fixed point theorem for a special class of complete metric spaces (namely, complete non-Archimedean metric spaces which are connected with some problems coming from quantum physics, -adic strings and superstrings). We also show that this theorem is a very efficient and convenient tool for proving the Hyers–Ulam stability of a quite wide class of functional equations in a single variable. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0362546X
- Volume :
- 74
- Issue :
- 18
- Database :
- Academic Search Index
- Journal :
- Nonlinear Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 65812249
- Full Text :
- https://doi.org/10.1016/j.na.2011.06.050