Abstract
In this article, we defined the generalized intuitionistic P-pseudo fuzzy 2-normed spaces and investigated the Hyers stability of m-mappings in this space. The m-mappings are interesting functional equations; these functional equations are additive for m = 1, quadratic for m = 2, cubic for m = 3, and quartic for m = 4. We have investigated the stability of four types of functional equations in generalized intuitionistic P-pseudo fuzzy 2-normed spaces by the fixed point method.
Subject
Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis
Reference20 articles.
1. Ulam, S.M. (2004). Problems in Modern Mathematics, Courier Corporation.
2. On the stability of the linear functional equation;Hyers;Proc. Natl. Acad. Sci. USA,1941
3. On the stability of the linear mapping in Banach spaces;Rassias;Proc. Am. Math. Soc.,1978
4. On approximate homomorphisms: A fixed point approach;Gordji;Math. Sci.,2012
5. Fuzzy stability of the Jensen functional equation;Mirmostafaee;Fuzzy Sets Syst.,2008