Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2012; 49(2): 339-352

Printed March 1, 2012

https://doi.org/10.4134/BKMS.2012.49.2.339

Copyright © The Korean Mathematical Society.

Approximately quintic and sextic mappings on the probabilistic normed spaces

Mohammad Bagher Ghaemi, Hamid Majani, and Majid Eshaghi Gordji

Iran University of Science and Technology, Iran University of Science and Technology, Semnan University

Abstract

We prove the stability for the systems of quadratic-cubic and additive-quadratic-cubic functional equations with constant coefficients on the probabilistic normed spaces (briefly PN spaces).

Keywords: probabilistic normed spaces, generalized Hyers-Ulam stability, mixed type functional equation

MSC numbers: 39B52, 46S50, 47H10