Abstract: In this paper, the notion of compact neutrosophic soft metric space is introduced. The concept of neutrosophic soft function and the composition of functions in a neutrosophic soft metric space along with suitable examples also have been brought. The continuity and uniform continuity of a neutrosophic soft function in this space have been defined and verified by proper examples. Several related properties, theorems and structural characteristics of these have been investigated here.
Keywords: Compact neutrosophic soft metric space; Neutrosophic soft functions; Composition of neutrosophic soft function; Continuity; Uniform continuity.
How to cite this article:
Tuhin Bera and Nirmal Kumar Mahapatra, Compactness and Continuity On Neutrosophic Soft Metric Space, International Journal of Advances in Mathematics, Volume 2018, Number 4, Pages 1-24, 2018.