Nonlinear approximation of multiplicative inverse quartic functional equation in intuitionistic fuzzy normed spaces

Abstract

In this paper, authors investigate the stability results of multiplicative inverse quartic functional (MIQF) equation associating a constant, sum of powers of norms, general control function, mixed product-sum of powers of norm and product of different powers of norms pertinent to the results established by Gavruta and Rassias in intuitionistic fuzzy normed spaces. After that, we proved the stability results of MIQF equation through the fixed point alternative.

Subject Classification: (2010):

• 39B82
• 39B72
• 30D05

Keywords:

• Multiplicative inverse functional equation
• Intuitionistic fuzzy normed space
• Generalised Hyers-Ulam stability
• Ulam-Gavruta-Rassias stability