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Stability of a generalization of the Fréchet functional equation


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We prove some stability and hyperstability results for a generalization of the well known Fréchet functional equation, stemming from one of the characterizations of the inner product spaces. As the main tool we use a fixed point theorem for some function spaces. We end the paper with some new inequalities characterizing the inner product spaces.

eISSN:
2300-133X
Język:
Angielski
Częstotliwość wydawania:
Volume Open
Dziedziny czasopisma:
Mathematics, General Mathematics