Annals of Communications in Mathematics

AbstractThe aim of this article, we introduced and studied m∆-open sets in micro topological spaces. We offer a new class of sets called m∆-closed sets in micro topological spaces and we study some of its basic properties. we introduce m∆-interior and m∆- closure and study some of its basic properties. We introduce m∆-continuous maps, m∆- irresolute maps and study some of its basic properties.

AbstractIn this paper, we study the Schauder-Tychonoff fixed point (STFP) on a subset A of a sequentially complete Hausdorff strongly convex topological vector space (SCHSCTVS) E (over the field R) with calibration Γ have a unique STFP in Topological Vector Space (TVS).

AbstractIn this article, we introduced the notions of NjmX-semi-open sets, semiinterior and semi-closure operators in neutrosophic biminimal structures. We investigate some basic properties of such notions. Also, we introduced the notion of NjmX-semicontinuous maps and study characterizations of NjmX-semi-continuous maps by using the semi-interior and semi-closure operators in neutrosophic biminimal structures.

AbstractIn this paper, nIg-closed sets and nIg-open sets are used to define and investigate a new class of maps called contra nIg-continuous maps in nano ideal topological spaces. We discuss the relationship with some other related maps.

AbstractIn this article, we introduce the concept of neutrosophic micro topological spaces. Some interesting properties like neutrosophic micro interior, neutrosophic micro closure and neutrosophic micro continuous are studied. In this connection, interrelations are discussed. Example are provided wherever necessary.

AbstractThis chapter is an introduction of neutrosophic soft set minimal structure space and addresses properties of neutrosophic soft set minimal structure space. Neutrosophic set has plenty of applications. Moreover, we introduced neutrosophic soft set minimal closed set , neutrosophic soft set minimal open set, neutrosophic soft set minimal interior of (Fe, E), neutrosophic soft set minimal closure of (Fe, E), NSSm(Fe, E)-continuous, NSSm(Fe, E)-T0, NSSm(Fe, E)-T1, NSSm(Fe, E)-T2, NSSm(Fe, E)-compact, almost NSSm(Fe, E)-compact. We also present some of their basic properties.