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A fixed point approach to the hyers-ulam stability of a functional equation in various normed spaces
- Issue Date
- Oct-2011
- Publisher
- SPRINGER INTERNATIONAL PUBLISHING AG
- Keywords
- Hyers-Ulam stability; non-Archimedean normed space; random normed space; fuzzy normed space; fixed point method
- Citation
- FIXED POINT THEORY AND APPLICATIONS, pp.1 - 14
- Indexed
- SCIE
SCOPUS
- Journal Title
- FIXED POINT THEORY AND APPLICATIONS
- Start Page
- 1
- End Page
- 14
- ISSN
- 1687-1820
- Abstract
- Using direct method, Kenary (Acta Universitatis Apulensis, to appear) proved the Hyers-Ulam stability of the following functional equation f(mx+ny)=(m+n)f(x+y)/2 + (m-n)f(x-y)/2 in non-Archimedean normed spaces and in random normed spaces, where m, n are different integers greater than 1. In this article, using fixed point method, we prove the Hyers-Ulam stability of the above functional equation in various normed spaces.
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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)