Topological Aspects of Set-Valued Mappings Defned on Neutrosophic Normed Spaces

Authors

  • Vakeel A Khan Department of Mathematics, Aligarh Muslim University Aligarh India
  • Mohd Kamran Department of Mathematics, Aligarh Muslim University Aligarh India

Keywords:

NNS, t-norm, t-conorm, t-representable norm, Statistical graph convergence, Set valued maps, neutrosophic set

Abstract

Samarandache [43] introduced neutrosophoic sets to generalize the theory of fuzzy sets. In this pa
per we modify the definition of neutrosophic normed space with help of continuous neutrosophic t-representable
 norm. Then we study the statistical graphical convergence and pointwise convergence of the sequences of set
valued functions defined on modified version of neutrosophic normed space and give some related theorems. We
 also introduce neutrosophic upper and lower semi continuities of set valued maps to develop the link between
 these convergences.

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Published

2024-09-10

Issue

Vol. 73 (2024): Neutrosophic Sets and Systems {Special Issue: Mediterranean Conference on Three Decades of Neutrosophic and Plithogenic Theories and Applications (MeCoNeT 2024)}, Vol. 73, 2024

Section

Article

License

Copyright (c) 2024 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

Vakeel A Khan, & Mohd Kamran. (2024). Topological Aspects of Set-Valued Mappings Defned on Neutrosophic Normed Spaces. Neutrosophic Sets and Systems, 73, 282-301. https://fs.unm.edu/nss8/index.php/111/article/view/5043