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Neutrosophic Metric Spaces
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Book Synopsis Neutrosophic Metric Spaces by : Murat Kirisci
Download or read book Neutrosophic Metric Spaces written by Murat Kirisci and published by Infinite Study. This book was released on with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: In present paper, the definition of new metric space with neutrosophic numbers is given. Several topological and structural properties have been investigated. The analogues of Baire Category Theorem and Uniform Convergence Theorem are given for Neutrosophic metric spaces.
Book Synopsis FIXED POINT THEOREMS IN NEUTROSOPHIC METRIC SPACES by : Necip ŞIMŞEK
Download or read book FIXED POINT THEOREMS IN NEUTROSOPHIC METRIC SPACES written by Necip ŞIMŞEK and published by Infinite Study. This book was released on with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we introduce the neutrosophic cantractive and neutrosophic mapping. We establish some results on fixed points of a neutrosophic mapping.
Book Synopsis Toplogical and Geometric KM-Single Valued Neutrosophic Metric Spaces by : Mohammad Hamidi
Download or read book Toplogical and Geometric KM-Single Valued Neutrosophic Metric Spaces written by Mohammad Hamidi and published by Infinite Study. This book was released on with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper introduces the novel concept of KM-single valued neutrosophic metric spaces as an especial generalization of KM-fuzzy metric spaces, investigates several topological and structural properties and presents some of its applications. This study also considers the metric spaces and constructs KM-single valued neutrosophic spaces with respect to any given triangular norms and triangular conorms.
Book Synopsis Fixed Point Results for Contraction Theorems in Neutrosophic Metric Spaces by : S Sowndrarajan
Download or read book Fixed Point Results for Contraction Theorems in Neutrosophic Metric Spaces written by S Sowndrarajan and published by Infinite Study. This book was released on 2020-10-01 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this article, we present fixed and common fixed point results for Banach and Edelstein contraction theorems in neutrosophic metric spaces. Then some properties and examples are given for neutrosophic metric spaces. Thus, we added a new path in neutrosophic theory to obtain fixed point results. We investigate and prove some contraction theorems that are extended to neutrosophic metric space with the assistance of Grabiec.
Book Synopsis (Φ,Ψ)-WeakContractions in Neutrosophic Cone Metric Spaces via Fixed Point Theorems by : Wadei F. Al-Omeri
Download or read book (Φ,Ψ)-WeakContractions in Neutrosophic Cone Metric Spaces via Fixed Point Theorems written by Wadei F. Al-Omeri and published by Infinite Study. This book was released on with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this manuscript, we obtain common fixed point theorems in the neutrosophic cone metric space. Also, notion of (Φ,Ψ)-weak contraction is defined in the neutrosophic cone metric space by using the idea of altering distance function. Finally, we review many examples of cone metric spaces to verify some properties.
Book Synopsis Compactness and Continuity On Neutrosophic Soft Metric Space by : Tuhin Bera
Download or read book Compactness and Continuity On Neutrosophic Soft Metric Space written by Tuhin Bera and published by Infinite Study. This book was released on with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Neutrosophic Fixed Point Theorems and Cone Metric Spaces by : Wadei F. Al-Omeri
Download or read book Neutrosophic Fixed Point Theorems and Cone Metric Spaces written by Wadei F. Al-Omeri and published by Infinite Study. This book was released on with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: The intention of this paper is to give the general de nition of cone metric space in the context of the neutrosophic theory. In this relation, we obtain some fundamental results concerting xed points for weakly compatible mapping.
Book Synopsis On Neutrosophic Triplet quasi-dislocated-b-metric space by : Anuradha
Download or read book On Neutrosophic Triplet quasi-dislocated-b-metric space written by Anuradha and published by Infinite Study. This book was released on 2020-12-01 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of neutrosophic triplet firstly introduced by F. Smarandache and M. Ali. This notion (neutrosophic triplet) is a group of three elements that satisfy certain properties with some binary operation. These neutrosophic triplets highly depends on the proposed binary operation. In this article, we make some observations concerning Neutrosophic triplet metric space (NTMS), Neutrosophic triplet partial metric space (NTPMS), Neutrosophic triplet-b-metric space (NT-b-MS) introduced by Sahin et al. and put our observation on the definitions defined in these articles. Moreover, inspired by Ur Rahaman and Sahin et al. further we define a new topological construction named as Neutrosophic Triplet quasi-dislocated b-metric space (NT-qdb-MS) and study some properties of NT-qdb-MS. Furthermore using this construction, we establish some fixed point theorems in the context of NT-qdb-MS using graph. For the validity of our results, we also provide an example.
Book Synopsis Neutrosophic Triplet Partial v-Generalized Metric Space by : Memet Şahin
Download or read book Neutrosophic Triplet Partial v-Generalized Metric Space written by Memet Şahin and published by Infinite Study. This book was released on with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this chapter, study the notion of neutrosophic triplet partial v-generalized metric space. Then, we give some definitions and examples for neutrosophic triplet partial v-generalized metric space and obtain some properties and prove these properties. Furthermore, we show that neutrosophic triplet partial v-generalized metric space is different from neutrosophic triplet v-generalized metric space and neutrosophic triplet partial metric space.
Book Synopsis Clustering Neutrosophic Data Sets and Neutrosophic Valued Metric Spaces by : Ferhat Tas
Download or read book Clustering Neutrosophic Data Sets and Neutrosophic Valued Metric Spaces written by Ferhat Tas and published by Infinite Study. This book was released on with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we define the neutrosophic valued (and generalized or G) metric spaces for the first time. Besides, we newly determine a mathematical model for clustering the neutrosophic big data sets using G-metric. Furthermore, relative weighted neutrosophic-valued distance and weighted cohesion measure, is defined for neutrosophic big data set. We offer a very practical method for data analysis of neutrosophic big data although neutrosophic data type (neutrosophic big data) are in massive and detailed form when compared with other data types.
Book Synopsis On Neutrosophic Soft Metric Space by : Tuhin Bera
Download or read book On Neutrosophic Soft Metric Space written by Tuhin Bera and published by Infinite Study. This book was released on with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, the notion of neutrosophic soft metric space(NSMS) is introduced interms of neutrosophic soft points and several related properties, structural characteristics have been investigated. Then the convergence of sequence in neutrosophic soft metric space is defined and illustrated by examples.
Book Synopsis Derivable Single Valued Neutrosophic Graphs Based on KM-Fuzzy Metric by : MOHAMMAD HAMIDI
Download or read book Derivable Single Valued Neutrosophic Graphs Based on KM-Fuzzy Metric written by MOHAMMAD HAMIDI and published by Infinite Study. This book was released on with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we consider the concept of KM-fuzzy metric spaces and we introduce a novel concept of KM-single valued neutrosophic metric graphs based on KM-fuzzy metric spaces. Then we investigate the nite KM-fuzzy metric spaces with respect to KM-fuzzy metrics and we construct the KM-fuzzy metric spaces on any given non-empty sets. We try to extend the concept of KM-fuzzy metric spaces to a larger class of KM-fuzzy metric spaces such as union and product of KM-fuzzy metric spaces and in this regard we investigate the class of products of KM-single valued neutrosophic metric graphs. In the nal, we dene some operations such as tensor product, Cartesian product, semi-strong product, strong product, union, semi-ring sum, suspension, and complement of KM-single valued neutrosophic metric graphs.
Book Synopsis Fixed Point Theorem for Neutrosophic Triplet Partial Metric Space by : Memet Sahin
Download or read book Fixed Point Theorem for Neutrosophic Triplet Partial Metric Space written by Memet Sahin and published by Infinite Study. This book was released on with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutrosphic triplet is a new theory in neutrosophy. In a neutrosophic triplet set, there is a neutral element and antielement for each element. In this study, the concept of neutrosophic triplet partial metric space (NTPMS) is given and the properties of NTPMS are studied. We show that both classical metric and neutrosophic triplet metric (NTM) are different from NTPM. Also, we show that NTPMS can be defined with each NTMS. Furthermore, we define a contraction for NTPMS and we give a fixed point theory (FPT) for NTPMS. The FPT has been revealed as a very powerful tool in the study of nonlinear phenomena. This study is also part of the “Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets” which is a special issue.
Book Synopsis A fixed point approach on bipolar neutrosophic soft metric space by : G. Kalpana
Download or read book A fixed point approach on bipolar neutrosophic soft metric space written by G. Kalpana and published by Infinite Study. This book was released on with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main aim of this paper is to premise bipolar neutrosophic soft metric space (BNSMS) in terms of bipolar neutrosophic soft points. In addition, we define convergence of sequence, Cauchy sequence and completeness in BNSMS with appropriate examples. Further, we represent bipolar neutrosophic soft mappings using a Cartesian product with relations on bipolar neutrosophic soft sets and developed a fixed point theorem for self maps with contractive conditions using BNS mappings.
Book Synopsis Fixed Point Theorem for Neutrosophic Triplet Partial Metric Space by : Memet Şahin
Download or read book Fixed Point Theorem for Neutrosophic Triplet Partial Metric Space written by Memet Şahin and published by Infinite Study. This book was released on with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutrosphic triplet is a new theory in neutrosophy. In a neutrosophic triplet set, there is a neutral element and antielement for each element. In this study, the concept of neutrosophic triplet partial metric space (NTPMS) is given and the properties of NTPMS are studied.
Book Synopsis Neutrosophic Triplet Normed Ring Space by : Mehmet Şahin
Download or read book Neutrosophic Triplet Normed Ring Space written by Mehmet Şahin and published by Infinite Study. This book was released on with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this article, a notion of neutrosophic triplet (NT) normed ring space is given and properties of NT normed ring spaces are studied. We demonstrate that NT normed ring is different from the classical one. Also, we show that a neutrosophic triplet normed ring can be a neutrosophic triplet norm when certain conditions are met.
Book Synopsis Neutrosophic triplet normed space by : Mehmet Şahin
Download or read book Neutrosophic triplet normed space written by Mehmet Şahin and published by Infinite Study. This book was released on with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper; new properties for neutrosophic triplet groups are introduced. A notion of neutrosophic triplet metric space is given and properties of neutrosophic triplet metric spaces are studied.