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SUPERSTABILITY AND STABILITY OF (r, s, t)-J*-HOMOMORPHISMS: FIXED POINT AND DIRECT METHODS
- Issue Date
- Jan-2016
- Publisher
- EUDOXUS PRESS, LLC
- Keywords
- Functional equation; (r, s, t)-J*-homomorphism; Hyers-Ulam stability; fixed point method; superstability; direct method
- Citation
- JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, v.20, no.1, pp.121 - 134
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
- Volume
- 20
- Number
- 1
- Start Page
- 121
- End Page
- 134
- ISSN
- 1521-1398
- 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.
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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)