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On the hyperstablity of a functional equation in commutative groups
- Authors
- Almahalebi, Muaadh; Park, Choonkil
- Issue Date
- May-2016
- Publisher
- EUDOXUS PRESS, LLC
- Keywords
- Hyers-Ulam stability; hyperstability; fixed point method; complete metric space
- Citation
- JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, v.20, no.5, pp.826 - 833
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
- Volume
- 20
- Number
- 5
- Start Page
- 826
- End Page
- 833
- ISSN
- 1521-1398
- Abstract
- Using the fixed point method, we prove the hyperstablity of the functional equation f (ax + by) = (a 2 + b)/2 f (x + y) + (a - b)/2 f (x - y), where a, b are different integers greater than 1, in the class of functions from a commutative group into a commutative complete metric group.
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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)