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Quadratic alpha-functional equations

Title
Quadratic alpha-functional equations
Author
박춘길
Keywords
Hyers-Ulam stability; non-Archimedean normed space; direct method; fixed point; quadratic alpha-functional equation
Issue Date
2017-05
Publisher
SEMNAN UNIV
Citation
INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, v. 8, no. 1, page. 1-9
Abstract
In this paper, we solve the quadratic alpha-functional equations2f(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.
URI
http://ijnaa.semnan.ac.ir/article_2351.htmlhttps://repository.hanyang.ac.kr/handle/20.500.11754/113990
ISSN
2008-6822
Appears in Collections:
COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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