Gateaux And Frechet Derivative In Neutrosophic Normed Linear Spaces

Authors

  • Jeyaraman. M P.G. and Research Department of Mathematics, Raja Doraisingam Govt. Arts College,Sivagangai, Affiliated to Alagappa University, Karaikudi, Tamilnadu, India
  • Mangayarkkarasi. A.N Department of Mathematics, Nachiappa Swamigal Arts & Science College, Karaikudi, Affiliated to Alagappa University, Karaikudi, Tamilnadu, India
  • Jeyanthi. V Government Arts College for Women, Sivagangai, Affiliated to Alagappa University, Karaikudi, Tamilnadu, India
  • Pandiselvi. M Research Scholar , PG and Research Department of Mathematics, Raja Doraisingam Govt. Arts College, Sivagangai, Affiliated to Alagappa University, Karaikudi, Tamilnadu

Keywords:

Neutrosophic differentiation, Neutrosophic continuity, Neutrosophic Gateaux derivative, Neutrosophic Frechet derivative

Abstract

In this study, we present the neutrosophic derivatives, the neutrosophic Gateaux 
derivative, and the neutrosophic Frechet derivative, and we examine some of their features. The 
relationship between the neutrophilic Frechet derivative and the neutrophilic Gateaux derivative is 
examined. 

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Published

2023-12-01

Issue

Vol. 60 (2023): Neutrosophic Sets and Systems

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

License

Copyright (c) 2023 Neutrosophic Sets and Systems

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

 Creative Commons Attribution (CC BY) license.

How to Cite

Jeyaraman. M, Mangayarkkarasi. A.N, Jeyanthi. V, & Pandiselvi. M. (2023). Gateaux And Frechet Derivative In Neutrosophic Normed Linear Spaces . Neutrosophic Sets and Systems, 60, 203-212. https://fs.unm.edu/nss8/index.php/111/article/view/3756