Abstract
This paper defines Archimedean, Caristi-Krirk balls, and Neutrosophic b metric space (Nb-MS). Usingthe Archimedean idea and complete Nb-MS, we have shown the existence of a shared fixed point usingtwo self-mappings and an upper semicontinuous function. We have demonstrated the existence of a fixed point by employing a k-continuous self-map and an upper semi-continuous function in conjunction with the Archimedean notion and complete Nb-MS. Furthermore, we have proven the completeness of the space by using Archimedean, Nb-MS, and a k-continuous self-map.MSC 2010: 47H10.
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