Journal of Neutrosophic and Fuzzy Systems JNFS 2771-6449 2771-6430 10.54216/JNFS https://www.americaspg.com/journals/show/1915 2021 2021 Department of Mathematics, Sri Venkateshwaraa College of Engineering and Technology, Puducherry 605102, India; Department of Mathematics, Annamalai University, Chidambaram 608002, India C. John Sundar Department of Mathematics, Annamalai University, Chidambaram 608002, India; Department of Mathematics, Arignar Anna Government Arts College, Namakkal 637002, India A. Vadivel In this paper the concepts of somewhat neutrosophic δ-continuous functions, somewhat neutrosophic δ-open functions between neutrosophic topological spaces are introduced and studied. Besides giving characterizations of these functions, several interesting properties of these functions are studied. The concepts of neutrosophic δ-resolvable spaces and neutrosophic δ-irresolvable spaces are also introduced and studied in this paper. These functions can be extended to a somewhat neutrosophic δ-irresolute continuous functions in neutrosophic topological spaces. 2023 2023 38 48 10.54216/JNFS.060204 https://www.americaspg.com/articleinfo/24/show/1915