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

Authors

Vakeel A. Khan
Mohd Kamran

Abstract

Samarandache [43] introduced neutrosophoic sets to generalize the theory of fuzzy sets. In this paper 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 setvalued 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.

Recommended Citation

Khan, Vakeel A. and Mohd Kamran. "Topological Aspects of Set-Valued Mappings Defned on Neutrosophic Normed Spaces." Neutrosophic Sets and Systems 73, 1 (2024). https://digitalrepository.unm.edu/nss_journal/vol73/iss1/26