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Paper's Title:
Stability Problems for Generalized Additive Mappings and Euler-Lagrange Type Mappings
Author(s):
M. Todoroki, K. Kumahara, T. Miura and S.-E. Takahasi
The Open University of Japan,
Chiba, 261-8586,
Japan
tomamiyu3232@sky.sannet.ne.jp
kumahara@ouj.ac.jp
Yamagata University,
Yonezawa 992-8510,
Japan
miura@yz.yamagata-u.ac.jp
Toho University, Yamagata University,
Chiba, 273-0866,
Japan
sin_ei1@yahoo.co.jp
Abstract:
We introduce a generalized additivity of a mapping between Banach spaces and establish the Ulam type stability problem for a generalized additive mapping. The obtained results are somewhat different from the Ulam type stability result of Euler-Lagrange type mappings obtained by H. -M. Kim, K. -W. Jun and J. M. Rassias.
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