On Neutrosophic Triplet Quasi Dislocated B Metric Space
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Author | : Anuradha |
Publisher | : Infinite Study |
Total Pages | : 16 |
Release | : 2020-12-01 |
Genre | : Mathematics |
ISBN | : |
Download On Neutrosophic Triplet quasi-dislocated-b-metric space Book in PDF, Epub and Kindle
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.
Author | : Florentin Smarandache |
Publisher | : Infinite Study |
Total Pages | : 662 |
Release | : |
Genre | : Mathematics |
ISBN | : |
Download Neutrosophic Sets and Systems, Vol. 38, 2020 Book in PDF, Epub and Kindle
“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.
Author | : Memet Sahin |
Publisher | : Infinite Study |
Total Pages | : 7 |
Release | : |
Genre | : Mathematics |
ISBN | : |
Download Fixed Point Theorem for Neutrosophic Triplet Partial Metric Space Book in PDF, Epub and Kindle
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.
Author | : Memet Şahin |
Publisher | : Infinite Study |
Total Pages | : 7 |
Release | : |
Genre | : |
ISBN | : |
Download Fixed Point Theorem for Neutrosophic Triplet Partial Metric Space Book in PDF, Epub and Kindle
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.
Author | : Memet Şahin |
Publisher | : Infinite Study |
Total Pages | : 20 |
Release | : |
Genre | : Mathematics |
ISBN | : |
Download Neutrosophic Triplet Partial v-Generalized Metric Space Book in PDF, Epub and Kindle
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.
Author | : Mehmet Şahin |
Publisher | : Infinite Study |
Total Pages | : 8 |
Release | : |
Genre | : |
ISBN | : |
Download Neutrosophic triplet normed space Book in PDF, Epub and Kindle
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.
Author | : Mehmet Şahin |
Publisher | : Infinite Study |
Total Pages | : 8 |
Release | : |
Genre | : Mathematics |
ISBN | : |
Download Neutrosophic Triplet Normed Ring Space Book in PDF, Epub and Kindle
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.
Author | : Jeff Cheeger |
Publisher | : Newnes |
Total Pages | : 183 |
Release | : 2009-01-15 |
Genre | : Computers |
ISBN | : 0444107649 |
Download Comparison Theorems in Riemannian Geometry Book in PDF, Epub and Kindle
Comparison Theorems in Riemannian Geometry
Author | : Pradip Debnath |
Publisher | : Springer Nature |
Total Pages | : 356 |
Release | : 2022-01-04 |
Genre | : Mathematics |
ISBN | : 9811648964 |
Download Metric Fixed Point Theory Book in PDF, Epub and Kindle
This book collects chapters on contemporary topics on metric fixed point theory and its applications in science, engineering, fractals, and behavioral sciences. Chapters contributed by renowned researchers from across the world, this book includes several useful tools and techniques for the development of skills and expertise in the area. The book presents the study of common fixed points in a generalized metric space and fixed point results with applications in various modular metric spaces. New insight into parametric metric spaces as well as study of variational inequalities and variational control problems have been included.
Author | : Mikhail Gersh Katz |
Publisher | : American Mathematical Soc. |
Total Pages | : 238 |
Release | : 2007 |
Genre | : Mathematics |
ISBN | : 0821841777 |
Download Systolic Geometry and Topology Book in PDF, Epub and Kindle
The systole of a compact metric space $X$ is a metric invariant of $X$, defined as the least length of a noncontractible loop in $X$. When $X$ is a graph, the invariant is usually referred to as the girth, ever since the 1947 article by W. Tutte. The first nontrivial results for systoles of surfaces are the two classical inequalities of C. Loewner and P. Pu, relying on integral-geometric identities, in the case of the two-dimensional torus and real projective plane, respectively. Currently, systolic geometry is a rapidly developing field, which studies systolic invariants in their relation to other geometric invariants of a manifold. This book presents the systolic geometry of manifolds and polyhedra, starting with the two classical inequalities, and then proceeding to recent results, including a proof of M. Gromov's filling area conjecture in a hyperelliptic setting. It then presents Gromov's inequalities and their generalisations, as well as asymptotic phenomena for systoles of surfaces of large genus, revealing a link both to ergodic theory and to properties of congruence subgroups of arithmetic groups. The author includes results on the systolic manifestations of Massey products, as well as of the classical Lusternik-Schnirelmann category.