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ORTHOGONAL STABILITY OF AN ADDITIVE-QUADRATIC FUNCTIONAL EQUATION IN NON-ARCHIMEDEAN SPACES
- Issue Date
- Oct-2012
- Publisher
- EUDOXUS PRESS, LLC
- Keywords
- Hyers-Ulam stability; orthogonally additive-quadratic functional equation; fixed point; non-Archimedean normed space; orthogonality space
- Citation
- JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, v.14, no.6, pp.1014 - 1025
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
- Volume
- 14
- Number
- 6
- Start Page
- 1014
- End Page
- 1025
- ISSN
- 1521-1398
- Abstract
- Using the fixed point method, we prove the Hyers-Ulam stability of the orthogonally additive-quadratic functional equation 2f (x+y/2) + 2f (x-y/2) = 3/2 f(x) - 1/2 f(y) + 1/2f(-y) (0.1) for all x, y with x perpendicular to y, in non-Archimedean Banach spaces. Here perpendicular to is the orthogonality in the sense of Ratz.
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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)