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Title

AN ADDITIVE-QUADRATIC EQUATION, ITS SOLUTIONS AND GENERALIZE HYERS-ULAM-RASSIAS STABILITY

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Abstract

 THE AIM OF THIS PAPER IS TO ESTABLISH GENERAL SOLUTIONS AND HYERES-ULAM-RASSIAS STABILITY OF THE FOLLOWING FUNCTION EQUATION (FORMULA). (1) ON BANACH SPACES. IT WILL BE SHOWN THAT THIS EQUATION IS EQUIVALENT TO THE SO-CALLED QUADRATIC FUNCTIONAL EQUATION.

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