Quadratic ρ-functional inequalities in normed spaces

Abstract

In this paper, we solve the quadratic ρ-functional inequalities (formula presented) where ρ is a number with |ρ| < 1 and (formula presented) where ρ is a number with |ρ| < 1/2. Using the fixed point method, we prove the Hyers-Ulam stability of the quadratic ρ-functional inequalities (0.1) and (0.2) in normed spaces.

Publication Title

Journal of Computational Analysis and Applications

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