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ORTHOGONAL STABILITY OF A CUBIC-QUARTIC FUNCTIONAL EQUATION IN NON-ARCHIMEDEAN SPACES
- Issue Date
- Apr-2013
- Publisher
- EUDOXUS PRESS, LLC
- Keywords
- Hyers-Ulam stability; orthogonally cubic-quartic functional equation; fixed point; non-Archimedean normed space; orthogonality space
- Citation
- JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, v.15, no.3, pp.572 - 583
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
- Volume
- 15
- Number
- 3
- Start Page
- 572
- End Page
- 583
- ISSN
- 1521-1398
- Abstract
- Using the fixed point method, we prove the Hyers-Ulam stability of the orthogonally cubic-quartic functional equation f (2x + y) + f (2x - y) = 3f (x + y) + f (-x - y) + 3 f (x - y) + f (y - x) +18f (x) + 6f (-x) -3f (y) - 3f (-y) (0.1) for all x, y with x perpendicular to y in non-Archimedean Banach spaces, where 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)