Ulam type stability problems for alternative homomorphisms

Sin-Ei Takahasi,Makoto Tsukada,Takeshi Miura,Hiroyuki Takagi,Kotaro Tanahashi

Ulam type stability problems for alternative homomorphisms

2014

Sin-Ei Takahasi
Makoto Tsukada
Takeshi Miura
Hiroyuki Takagi
Kotaro Tanahashi

We introduce an alternative homomorphism with respect to binary operations and investigate the Ulam type stability problem for such a mapping. The obtained results apply to Ulam type stability problems for several important functional equations.

Keywords:

Mathematics
Mathematical analysis
Combinatorics
Fixed-point theorem
Homomorphism
Functional equation
Binary operation
Discrete mathematics

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