Metrizability of Topology, Precompactness and SemiCompatibal Mappings in Neutrosophic Metric Spaces

Authors

  • Khaleel Ahmad Department of Mathematics, University of Management and Technology, Lahore 54770, Pakistan;
  • Umar Ishtiaq Office of Research, Innovation and Commercialization, University of Management and Technology, Lahore 54770, Pakistan;

Keywords:

neutrosophic metric space; metrizable; non-Archimedean space; semi-compatible mapping.

Abstract

: In this manuscript, we discuss the metrizability of the topology produced by arbitrary
neutrosophic metric space. Further, we demonstrate that the resulting topology is completely metrizable 
if the neutrosophic metric space is complete and a neutrosophic metric space is precompact if and only 
if each sequence has a Cauchy subsequence. Furthermore, we present the idea of a non-Archimedean 
generalised neutrosophic metric space, analyse its

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Published

2026-01-25

Issue

Vol. 95 (2026): Neutrosophic Sets and Systems

Section

Article

License

Copyright (c) 2025 Neutrosophic Sets and Systems

Creative Commons License

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

 Creative Commons Attribution (CC BY) license.

How to Cite

Khaleel Ahmad, & Umar Ishtiaq. (2026). Metrizability of Topology, Precompactness and SemiCompatibal Mappings in Neutrosophic Metric Spaces. Neutrosophic Sets and Systems, 95, 1-16. https://fs.unm.edu/nss8/index.php/111/article/view/7213