Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2017; 32(4): 915-932

Online first article October 12, 2017      Printed October 31, 2017

https://doi.org/10.4134/CKMS.c160272

Copyright © The Korean Mathematical Society.

A new type of the additive functional equations on intuitionistic fuzzy normed spaces

Mohan Arunkumar, Abasalt Bodaghi, Thirumal Namachivayam, Elumalai Sathya

Government Arts College, Islamic Azad University, Government Arts College, Government Arts College

Abstract

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In this paper, we introduce a new type of additive functional equations and establish the generalized Ulam-Hyers stability for it in intuitionistic fuzzy normed space by using direct and fixed point methods.

Keywords: additive functional equation, generalized Ulam-Hyers stability, Banach space, intuitionistic fuzzy normed space, fixed point

MSC numbers: Primary 39B52, 32B72, 32B82

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