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Stability of a generalized quadratic functional equation in various spaces: a fixed point alternative approach
- Title
- Stability of a generalized quadratic functional equation in various spaces: a fixed point alternative approach
- Author
- 박춘길
- Keywords
- Hyers-Ulam stability; fuzzy Banach space; orthogonality; non-Archimedean normed spaces; fixed point method
- Issue Date
- 2011-12
- Publisher
- HINDAWI PUBLISHING CORPORATION
- Citation
- Advances in Difference Equations, 2011, 2, P.62
- Abstract
- Using the fixed point method, we prove the Hyers-Ulam stability of the following quadratic functional equationcf(∑ni=1xi)+∑nj=2f(∑ni=0xi−(n+c−1)xj)=(n+c−1)(f(x1)+c∑ni=2f(xi)+∑ni<j,j=3(∑n−1i=2f(xi−xj)))in various normed spaces.2010 Mathematics Subject Classification: 39B52; 46S40; 34K36; 47S40; 26E50; 47H10; 39B82.
- ISSN
- 1687-1839
- Appears in Collections:
- COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
- Files in This Item:
- 1687-1847-2011-62.pdfDownload
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