Continuous and bounded operators on neutrosophic normed spaces

Authors

  • Saleh Omran Department of Mathematics, Faculty of Science
  • A. Elrawy Department of Mathematics, Faculty of Science

Keywords:

Neutrosophic sets, neutrosophic normed spaces, continuous mappings, bounded linear operators, Banach spaces

Abstract

In this paper, we define the concept of continuous, sequentially continuous, and strongly continuous mappings neutrosophic normed spaces. Also, we have some important relationships between continuous, sequentially continuous, strongly continuous relationships mappings. Furthermore, the concept of neutrosophic Lipschitzian mapping is introduced and a neutrosophic version of Banach’s contraction principle is achieved. Finally, the definition of neutrosophic bounded and weakly bounded linear operators are discussed and studied.

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Published

2021-11-01

Issue

Section

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

How to Cite

Omran, S. ., & Elrawy, A. . (2021). Continuous and bounded operators on neutrosophic normed spaces. Neutrosophic Sets and Systems, 46, 276-289. https://fs.unm.edu/nss8/index.php/111/article/view/1959