A Combined Study of Continuities and Boundedness in Neutrosophic Pseudo-Normed Linear Spaces

Authors

  • M. Pandiselvi PG and Research Department of Mathematics, Raja Doraisingam Govt. Arts College, Sivagangai, Alagappa University, Karaikudi, Tamil Nadu, India
  • M. Jeyaraman PG and Research Department of Mathematics, Raja Doraisingam Govt. Arts College, Sivagangai, Alagappa University, Karaikudi, Tamil Nadu, India
  • M. Akram Department of Mathematics, Faculty of Science, Islamic University of Madinah, Madinah 42351, Saudi Arabia

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i3.6304

Keywords:

Neutrosophic continuity, Sequentially neutrosophic continuity, Uniformly neutrosophic boundedness.

Abstract

In this work, we investigate various notions of neutrosophic boundedness and continuity within the framework of neutrosophic pseudo normed linear spaces. Specifically, we introduce and analyze different types of neutrosophic continuity such as pointwise, uniform, and sequential neutrosophic continuity and examine their interrelationships. We also explore several forms of neutrosophic boundedness and establish connections between boundedness and continuity under neutrosophic settings. Illustrative examples are provided to demonstrate the applicability of the introduced concepts.

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Published

2025-08-01

Issue

Vol. 18 No. 3: (July 2025)

Section

Nonlinear Analysis

License

Copyright (c) 2025 M. Pandiselvi, M. Jeyaraman, M. Akram

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How to Cite

A Combined Study of Continuities and Boundedness in Neutrosophic Pseudo-Normed Linear Spaces. (2025). European Journal of Pure and Applied Mathematics, 18(3), 6304. https://doi.org/10.29020/nybg.ejpam.v18i3.6304