ON THE GENERALIZED HYERS-ULAM STABILITY OF THE QUADRATIC FUNCTIONAL EQUATION WITH A GENERAL INVOLUTION

Bouikhalene Belaid, Elqorachi Elhoucien, Themistocles M. Rassias

Abstract


In this paper we prove the generalized Hyers-Ulam stability of the quadratic functional equation f(x+y)=f(x+sigma(y))=2f(x)+ 2f(y), x,y in G, where sigma is an involution of the normed space G.

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ISSN: 1229-1595 (Print), 2466-0973 (Online)

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