Nonlinear operators between neutrosophic normed spaces and Fréchet differentiation

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 op...

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Bibliographic Details
Main Authors: Vakeel A. Khan, Mohammad Daud Khan
Format: Article
Language:English
Published: SpringerOpen 2022-12-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:https://doi.org/10.1186/s13660-022-02893-y
Description
Summary: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.
ISSN:1029-242X