Fixed Points and Quadratic p-Functional Inequalities in Banach Spaces
- Title
- Fixed Points and Quadratic p-Functional Inequalities in Banach Spaces
- Other Titles
- Fixed Points and Quadratic rho-Functional Inequalities in Banach Spaces
- Author
- 박춘길
- Keywords
- Hyers-Ulam stabilityquadratic rho-functional inequalityfixed pointBanach space
- Issue Date
- 2020-12
- Publisher
- Chiang Mai University
- Citation
- Thai Journal of Mathematics, v. 18, NO 4, Page. 1733-1742
- 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(4f(x+y/2) + f(x - y) - 2f(x) - 2f(y))parallel to,
where rho is a fixed number with vertical bar rho vertical bar < 1, and
parallel to 4f(x + y/2) + f(x - y) - 2f(x) - 2f(y)parallel to <= parallel to rho(f(x + y) + f(x - y) - 2f(x) -2f(y))parallel to,
where rho is a fixed number with vertical bar rho vertical bar < 1/2. Using the fixed point method, we prove the Hyers-Ulam stability of the above quadratic rho-functional inequalities in complex Banach spaces.
- URI
- http://thaijmath.in.cmu.ac.th/index.php/thaijmath/article/view/3263https://repository.hanyang.ac.kr/handle/20.500.11754/173047
- ISSN
- 1686-0209
- Appears in Collections:
- COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
- Files in This Item:
There are no files associated with this item.
- Export
- RIS (EndNote)
- XLS (Excel)
- XML