Browsing by Author "Demiralp S."

Now showing 1 - 6 of 6

Fixed Point Theorem on Neutrosophic Triplet b-Metric Space
(2021-01-01) Demiralp S.
The notion of neutrosophic triplet, in the form of (p, np, ap) is a recent subject of neutrosophy, where np is the neutral of the element p and ap is the opposite of p. In this paper, neutrosophic triplet b-metric spaces are investigated. Then some new definitions and examples are given for neutrosophic triplet b-metric space. Based on these definitions, new theorems are given and proven. A neutrosophic triplet topology induced by neutrosophic triplet b-metric is obtained. Furthermore, a contraction map is defined for neutrosophic triplet b-metric space, and finally, a fixed point theorem is given for it.
Generalized Open Sets in Neutrosophic Soft Bitopological Spaces
(2022-01-01) Demiralp S.; Dadas H.
In this study, some generalized neutrosophic soft open sets are defined in neutrosophic soft bi-topological spaces. Also, some theorems related to the subject have been given with their proofs and supported with examples for a better understanding of the subject.
Introduction to neutrosophic soft bitopological spaces
(2021-01-01) Dadas H.; Demiralp S.
In this study, the concept of neutrosophic soft bitopological space is defined and it is one of the few studies that have dealt with this concept. In addition, pairwise neutrosophic soft open (closed) set on neutrosophic soft bitopological spaces are studied. Supra neutrosophic soft topology is defined by pairwise neutrosophic soft open sets. Important theorems related to the subject supported with many examples for better understanding of the subject are given.
Neutrosophic soft tri-topological spaces
(2021-01-01) Dadas H.; Demiralp S.
In this study, the concept of neutrosophic soft tri-topological space is defined as a generalization of neutrosophic soft bitopological space. Then neutrosophic soft tri-open and tri-closed sets are defined and in this space. Also, some basic properties of these new types of open and closed sets are investigated and supported by many examples to further clarify the study.
On generalized β-open sets in ideal bitopological space
(2020-01-01) Bukhatwa I.; Demiralp S.
In this article, we introduce and study the concepts of γij-semi-I-open sets and γijβI-open sets by generalizing (i, j)-semi-I-open sets and (ij)-βI-open sets, respectively, in ideal bitopological spaces with an operation γ: τ → P(X). Further, we describe and study (γ, δ)ij-semiI-continuous and (γ, δ)ij-βI-continuous functions in ideal bitopological spaces and their related notions. In addition, various examples and counterexamples are given for answers to some questions raised in this study.
Some characterizations of hopf group on fuzzy topological spaces
(2014-01-01) Demiralp S.; Guner E.
In this paper, some fundamental concepts are given relating to fuzzy topological spaces. Then it is shown that there is a contravariant functor from the category of the pointed fuzzy topological spaces to the category of groups and homomorphisms. Also the fuzzy topological spaces which are Hopf spaces are investigated and it is shown that a pointed fuzzy toplogical space having the same homotopy type as an Hopf group is itself an Hopf group.