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Fixed points and fuzzy stability of an additive-quadratic functional equation
- Authors
- Park, Choonkil; Najati, Abbas; Jang, Sun Young
- Issue Date
- Apr-2013
- Publisher
- EUDOXUS PRESS, LLC
- Keywords
- fuzzy Banach space; fixed point; functional equation associated with inner product space; Hyers-Ulam stability; quadratic mapping; additive mapping
- Citation
- JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, v.15, no.3, pp.452 - 462
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
- Volume
- 15
- Number
- 3
- Start Page
- 452
- End Page
- 462
- ISSN
- 1521-1398
- Abstract
- The fuzzy stability problems for the Cauchy additive functional equation and the Jensen additive functional equation in fuzzy Banach spaces have been investigated by Moslehian et al. Using fixed point method, we prove the Hyers-Ulam stability of the functional equation lf (Sigma(l)(i=1)x(i)) + Sigma(l)(i=1)f(lx(i) - Sigma(l)(i=1)d(j)) (0.1) = l(2) + l/2 Sigma(l)(i=1)f(x(i)) + l(2) - l/2 Sigma(l)(i=1)f(-x(i)) (l >= 2) in fuzzy Banach spaces.
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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)