Detailed Information
Cited 0 time in 
Cited 0 time in 
Cited 0 time in
Metadata Downloads
An additive (α,β)-functional equation and linear mappings in Banach spaces
- Authors
- Park, Choonkil
- Issue Date
- Sep-2016
- Publisher
- SPRINGER BASEL AG
- Keywords
- Hyers-Ulam stability; additive (alpha,beta)-functional equation; C-linear mapping; fixed point method; direct method; complex Banach space
- Citation
- JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, v.18, no.3, pp.495 - 504
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF FIXED POINT THEORY AND APPLICATIONS
- Volume
- 18
- Number
- 3
- Start Page
- 495
- End Page
- 504
- ISSN
- 1661-7738
- Abstract
- In this paper, we investigate the additive (α,β)-functional equation f(x+y)+α¯f(αz)=β−1f(β(x+y+z)) for all complex numbers α with |α|=1 and for a fixed nonzero complex number β. Using the fixed point method and the direct method, we prove the Hyers–Ulam stability of this additive (α,β)-functional equation in complex Banach spaces.
- Files in This Item
- There are no files associated with this item.
- Appears in
Collections - 서울 자연과학대학 > 서울 수학과 > 1. Journal Articles
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.
Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)