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Paper's Title:

Stability Problems for Generalized Additive Mappings and Euler-Lagrange Type Mappings


M. Todoroki, K. Kumahara, T. Miura and S.-E. Takahasi

The Open University of Japan,
Chiba, 261-8586,

 Yamagata University,
Yonezawa 992-8510,

Toho University, Yamagata University,
Chiba, 273-0866,


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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