SUPERSTABILITY AND STABILITY OF (r, s, t)-J*-HOMOMORPHISMS: FIXED POINT AND DIRECT METHODS
- Title
- SUPERSTABILITY AND STABILITY OF (r, s, t)-J*-HOMOMORPHISMS: FIXED POINT AND DIRECT METHODS
- Author
- 박춘길
- Keywords
- Functional equation; (r, s, t)-J*-homomorphism; Hyers-Ulam stability; fixed point method; superstability; direct method
- Issue Date
- 2016-01
- Publisher
- EUDOXUS PRESS
- Citation
- JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, v. 20, NO 1, Page. 121-134
- Abstract
- In this paper, we introduce the following useful functional equations: f(x + y) f(x - 2y) + f (y - x) = f(x), (0.1) f(Sigma(p)(i=1) x(i)/p - 1) + Sigma(p)(i=2) f (Sigma(p)(j=1j not equal 1) x(j) - px(i)/p - 1) + f(Sigma(p)(i=2) x(i)-x(1)/p - 1) = f(x(1)) (0.2) and prove the superstability and the Hyers-Ulam stability of (r,s,t)-J*-homomorphisms, associated with those, by using the fixed point method and the direct method.
- URI
- http://eds.a.ebscohost.com/eds/detail/detail?vid=0&sid=5c3b3d19-23e5-4705-a1e3-1535b3d64fe0%40sessionmgr4010&bdata=Jmxhbmc9a28mc2l0ZT1lZHMtbGl2ZQ%3d%3d#AN=111203974&db=a9hhttp://hdl.handle.net/20.500.11754/31688
- ISSN
- 1521-1398; 1572-9206
- Appears in Collections:
- COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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