A FIXED POINT APPROACH TO ORTHOGONAL STABILITY OF AN AQ-FUNCTIONAL EQUATIONS IN MODULAR SPACES

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Published: Jan 2, 2015

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Iz-iddine El-Fassi
University ibn Tofail

Abstract

Abstract. In this paper, we present a ï¬xed point method to prove generalized Hyers-Ulam stability of the following orthogonally additive - quadratic functional equation
f(x + ay) = f(x) + a^2f(y) −( a2 − a)/2[f(x + y) − f(x − y)]
where a ∈ N − {0, 1}, in modular spaces.

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El-Fassi, I.- iddine. (2015). A FIXED POINT APPROACH TO ORTHOGONAL STABILITY OF AN AQ-FUNCTIONAL EQUATIONS IN MODULAR SPACES. Journal of Global Research in Mathematical Archives(JGRMA), 2(4), 96–109. Retrieved from https://jgrma.com/index.php/jgrma/article/view/177
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Vol. 2 No. 4 (2014): April-2014
Section
Research Paper
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Author Biography

Iz-iddine El-Fassi, University ibn Tofail

Departement of mathematic

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