Approximate additive mappings in 2-Banach spaces and related topics |
| |
| Authors: | Won-Gil Park |
| |
| Affiliation: | Department of Mathematics Education, College of Education, Mokwon University, Daejeon 302-729, Republic of Korea |
| |
| Abstract: | In this paper, we investigate approximate additive mappings, approximate Jensen mappings and approximate quadratic mappings in 2-Banach spaces. That is, we prove the generalized Hyers-Ulam stability of the Cauchy functional equation, the Jensen functional equation and the quadratic functional equation in 2-Banach spaces. |
| |
| Keywords: | Linear 2-normed space Additive mapping Jensen mapping Quadratic mapping |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
