HYERS-ULAM STABILITY OF THE JENSEN FUNCTIONAL EQUATION IN QUASI-BANACH SPACES

Manar Youssef, Elqorachi Elhoucien, Themistocles M. Rassias

Abstract


In this paper, we prove the Hyers-Ulam-Rassias stability property for the Jensen functional equations

f(x + y) + f(x + \sigma(y)) = 2f(x); f(x + y) - f(x + \sigma(y)) = 2f(y) x, y 2 \in E_1

for mappings from a normed space E_1 into a quasi-Banach space E_2.

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

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