On the Hyers-Ulam-Rassias stability of approximately additive mappings

Journal of Mathematical Analysis and Applications

Volumn 204, Issue 1, 1996, Pages 221-226

  Jung, Soon Mo ^a  

^a Hong Ik University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030588773     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1996.0433     Document Type: Article

References (8)

1. Z. Gajda, On stability of additive mappings, Internat. J. Math. Math. Sci. 14 (1991), 431-434.
2. P. Gǎvrutǎ, A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings, J. Math. Anal. Appl. 184 (1994), 431-436.
3. D. H. Hyers, On the stability of the linear functional equation, Proc. Nat. Acad. Sci. U.S.A. 27 (1941), 222-224.
4. Th. M. Rassias, On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), 297-300.
5. Th. M. Rassias, On a modified Hyers-Ulam Sequence, J. Math. Anal. Appl. 158 (1991), 106-113.
6. Th. M. Rassias and P. Šemrl, On the Hyers-Ulam stability of linear mappings, J. Math. Anal. Appl. 173 (1993), 325-338.
7. Th. M. Rassias and P. Šemrl, On the behavior of mappings which do not satisfy Hyers-Ulam stability, Proc. Amer. Math. Soc. 114 (1992), 989-993.
8. S. M. Ulam, "Problems in Modern Mathematics," Chap. VI, Science ed., Wiley, New York, 1960.