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Compactness and Continuity On Neutrosophic Soft Metric Space

Compactness and Continuity On Neutrosophic Soft Metric Space
Author: Tuhin Bera
Publisher: Infinite Study
Total Pages: 24
Release:
Genre: Mathematics
ISBN:

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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.


On Neutrosophic Soft Metric Space

On Neutrosophic Soft Metric Space
Author: Tuhin Bera
Publisher: Infinite Study
Total Pages: 21
Release:
Genre:
ISBN:

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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.


On Neutrosophic Soft Topological Space

On Neutrosophic Soft Topological Space
Author: Tuhin Bera
Publisher: Infinite Study
Total Pages: 13
Release:
Genre:
ISBN:

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In this paper, the concept of connectedness and compactness on neutrosophic soft topological space have been introduced along with the investigation of their several characteristics. Some related theorems have been established also. Then, the notion of neutrosophic soft continuous mapping on a neutrosophic soft topological space and it’s properties are developed here.


Fixed Point Results for Contraction Theorems in Neutrosophic Metric Spaces

Fixed Point Results for Contraction Theorems in Neutrosophic Metric Spaces
Author: S Sowndrarajan
Publisher: Infinite Study
Total Pages: 11
Release: 2020-10-01
Genre: Mathematics
ISBN:

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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.


Some Results in Neutrosophic Soft Topology Concerning Neutrosophic Soft ∗b Open Sets

Some Results in Neutrosophic Soft Topology Concerning Neutrosophic Soft ∗b Open Sets
Author: Arif Mehmood
Publisher: Infinite Study
Total Pages: 15
Release:
Genre: Mathematics
ISBN:

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In this article, new generalised neutrosophic soft open known as neutrosophic soft ∗b-open set is introduced in neutrosophic soft topological spaces. Neutrosophic soft ∗b-open set is generated with the help of neutrosophic soft semiopen and neutrosophic soft preopen sets.


An Interpretation of G-Continuity in Neutrosophic Soft Topological Spaces

An Interpretation of G-Continuity in Neutrosophic Soft Topological Spaces
Author: Huseyin Cakalli
Publisher: Infinite Study
Total Pages: 4
Release:
Genre: Mathematics
ISBN:

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Scientists have always adopted the concept of sequential continuity as an indispensable subject, not only in Topology but also in some other branches of Mathematics. Connor and Grosse-Erdmann gave this concept for real functions by using an arbitrary linear functional G defined on a linear subspace of the vector space of all real sequences instead of lim. Afterwards, this concept were adapted to a topological group X by replacing a linear functional G with an arbitrary additive function defined on a subgroup of the group of all X-valued sequences. Furthermore, alternative theorems in generalized setting were given and varied theorems that had not been achieved for real functions were presented. In this investigation, we offer neutrosophic soft G-continuity and analyze its nature in neutrosophic soft topological spaces.


Neutrosophic Fixed Point Theorems and Cone Metric Spaces

Neutrosophic Fixed Point Theorems and Cone Metric Spaces
Author: Wadei F. Al-Omeri
Publisher: Infinite Study
Total Pages: 16
Release:
Genre: Mathematics
ISBN:

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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.


(Φ,Ψ)-WeakContractions in Neutrosophic Cone Metric Spaces via Fixed Point Theorems

(Φ,Ψ)-WeakContractions in Neutrosophic Cone Metric Spaces via Fixed Point Theorems
Author: Wadei F. Al-Omeri
Publisher: Infinite Study
Total Pages: 8
Release:
Genre: Mathematics
ISBN:

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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.


Metric Spaces

Metric Spaces
Author: Satish Shirali
Publisher: Springer Science & Business Media
Total Pages: 230
Release: 2005-12-16
Genre: Mathematics
ISBN: 1846282446

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One of the first books to be dedicated specifically to metric spaces Full of worked examples, to get complex ideas across more easily


Neutrosophic Vague Topological Spaces

Neutrosophic Vague Topological Spaces
Author: Mary Margaret A.
Publisher: Infinite Study
Total Pages: 12
Release:
Genre: Mathematics
ISBN:

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The term topology was introduced by Johann Beredict Listing in the 19th century. Closed sets are fundamental objects in a topological space. In this paper, we use neutrosophic vague sets and topological spaces and we construct and develop a new concept namely “neutrosophic vague topological spaces”. By using the fundamental definition and necessary example we have defined the neutrosophic vague topological spaces and have also discussed some of its properties. Also we have defined the neutrosophic vague continuity and neutrosophic vague compact space in neutrosophic vague topological spaces and their properties are deliberated.