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Quadratic α-functional equations
- Authors
- Park, Choonkil; Kim, Sang Og
- Issue Date
- Dec-2016
- Publisher
- SEMNAN UNIV
- Keywords
- Hyers-Ulam stability; non-Archimedean normed space; direct method; fixed point; quadratic alpha-functional equation
- Citation
- INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, v.8, no.1, pp 1 - 9
- Pages
- 9
- Indexed
- ESCI
- Volume
- 8
- Number
- 1
- Start Page
- 1
- End Page
- 9
- ISSN
- 2008-6822
- Abstract
- In this paper, we solve the quadratic alpha-functional equations 2f(x) + 2f(y) = f(x + y) + alpha(-2) f(alpha(x - y)), (0.1) where a is a fixed non-Archimedean number with a(-2) not equal 3. Using the fixed point method and the direct method, we prove the Hyers-Ulam stability of the functional equation (0.1) in non-Archimedean Banach spaces.
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