A Fixed Point Approach to Stability of Quintic Functional Equations in Modular Spaces

Mohammad Bagher Ghaemi; Mehdi Choubin; Ghadir Sadeghi; Madjid Eshaghi Gordji

Kyungpook Mathematical Journal 2015; 55(2): 313-326

Published online June 23, 2015

A Fixed Point Approach to Stability of Quintic Functional Equations in Modular Spaces

Mohammad Bagher Ghaemi¹, Mehdi Choubin², Ghadir Sadeghi³ and Madjid Eshaghi Gordji⁴

¹Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran
²Department of Mathematics, Velayat University, Iranshahr, Iran
³Department of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, P. O. Box 397, Iran
⁴Department of Mathematics, Semnan University, Semnan, Iran

Abstract

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Abstract

In this paper, we present a fixed point method to prove generalized Hyers--Ulam stability of the systems of quadratic-cubic
functional equations with constant coefficients in modular spaces.

Keywords: stability, quintic , functional equation, fixed point, modular space