# The stability of sextic functional equation in fuzzy modular spaces

Volume 9, Issue 6, pp 3555--3569 Publication Date: June 05, 2016
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### Authors

Kittipong Wongkum - Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha Uthit Road, Bang Mod, Thung Khru, Bangkok 10140, Thailand. - Theoretical and Computational Science (TaCS) Center, Science Laboratory Building, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha Uthit Road, Bang Mod, Thung Khru, Bangkok 10140, Thailand. Poom Kumam - Theoretical and Computational Science (TaCS) Center, Science Laboratory Building, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha Uthit Road, Bang Mod, Thung Khru, Bangkok 10140, Thailand. - Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha Uthit Road, Bang Mod, Thung Khru, Bangkok 10140, Thailand. - Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan.

### Abstract

By using the fixed point technique, we prove the stability of sixtic functional equations. Our results are studied and proved in the framework of fuzzy modular spaces (brie y, FM-spaces). The lower semi continuous (brie y, l.s.c.) and $\beta$-homogeneous are necessary conditions for this work.

### Keywords

• Stability
• sextic mapping
• fuzzy modular space.

•  46A80
•  39B82

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