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QUADRATIC ρ-FUNCTIONAL INEQUALITIES IN NORMED SPACES
- Issue Date
- May-2016
- Publisher
- EUDOXUS PRESS, LLC
- Keywords
- Hyers-Ulam stability; quadratic rho-functional inequality; fixed point
- Citation
- JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, v.20, no.5, pp.949 - 956
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
- Volume
- 20
- Number
- 5
- Start Page
- 949
- End Page
- 956
- ISSN
- 1521-1398
- Abstract
- In this paper, we solve the quadratic rho-functional inequalities parallel to f(x + y) + f(x - y) - 2f(x) - 2f(y)parallel to <= parallel to rho(2f(x+y)/2 + 2f(x - y)/2 - f(x) - f(y)parallel to, <=parallel to rho(f(x + y) + f(x - y) - 2f(x) - 2f(y))parallel to, where rho is a number with broken vertical bar p broken vertical bar < 1/2. Using the fixed point method, we prove the Hyers-Ulam stability of the quadratic rho is a functional inequalities (0.1) and (0.2) in normed spaces.
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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)