Nonlinear operators between neutrosophic normed spaces and Fréchet differentiation

Abstract

Abstract The article focuses on the introduction of neutrosophic continuity and neutrosophic boundedness, which is a fair extension of intuitionistic fuzzy continuity and intuitionistic fuzzy boundedness, respectively. The article further advances to illustrate the Fréchet derivative of nonlinear operators between neutrosophic normed spaces (NNS). Examples have been provided in compliance with the theory with the aid of some standard sequence spaces.

Keywords

• Bounded Linear operator
• Fréchet derivative
• Continuity
• Neutrosophic normed space