Neutrosophic metric spaces

Kirişçi, Murat; Şi̇mşek, Necip

doi:10.1007/s40096-020-00335-8

Cited by 36 publications

(23 citation statements)

References 12 publications

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“…The purpose of this paper is to apply the NMS that is defined by Kirisci and Simsek 28 . NC mapping is defined.…”

Section: Discussionmentioning

confidence: 99%

“…The purpose of this paper is to apply the NMS that is defined by Kirisci and Simsek. 28 NC mapping is defined. After the properties related to NC are proved, fixed point theorem is given.…”

Section: Discussionmentioning

confidence: 99%

“…Definition 28 Take

F

be an arbitrary set,

V = scriptN = false{< a, G false(a false), B false(a false), Y false(a false) > : a \in F false}

be a NS such that

scriptN : F \times F \times {double-struckR}^{+} \to false[0, 1 false]

. Let

\circ

and

•

show the continuous TN and continuous TC, respectively.…”

Section: Preliminariesmentioning

confidence: 99%

“…Definition 28 Give

V

be a NMS,

0 < ε < 1

λ > 0

and

a \in F

. The set

O false(a, ε, λ false) = false{b \in F : G false(a, b, λ false) > 1 - ε, B false(a, b, λ false) < ε, Y false(a, b, λ false) < ε false}

is said to be the open ball (OB) (center

a

and radius

ε

with respect to

λ

).…”

Section: Preliminariesmentioning

confidence: 99%

See 3 more Smart Citations

Fixed point results for a new metric space

Kirişçi

Şi̇mşek

Akyiğit

2020

Math Methods in App Sciences

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“…The purpose of this paper is to apply the NMS that is defined by Kirisci and Simsek 28 . NC mapping is defined.…”

Section: Discussionmentioning

confidence: 99%

“…The purpose of this paper is to apply the NMS that is defined by Kirisci and Simsek. 28 NC mapping is defined. After the properties related to NC are proved, fixed point theorem is given.…”

Section: Discussionmentioning

confidence: 99%

“…Definition 28 Take

F

be an arbitrary set,

V = scriptN = false{< a, G false(a false), B false(a false), Y false(a false) > : a \in F false}

be a NS such that

scriptN : F \times F \times {double-struckR}^{+} \to false[0, 1 false]

. Let

\circ

and

•

show the continuous TN and continuous TC, respectively.…”

Section: Preliminariesmentioning

confidence: 99%

“…Definition 28 Give

V

be a NMS,

0 < ε < 1

λ > 0

and

a \in F

. The set

O false(a, ε, λ false) = false{b \in F : G false(a, b, λ false) > 1 - ε, B false(a, b, λ false) < ε, Y false(a, b, λ false) < ε false}

is said to be the open ball (OB) (center

a

and radius

ε

with respect to

λ

).…”

Section: Preliminariesmentioning

confidence: 99%

See 2 more Smart Citations

Fixed point results for a new metric space

Kirişçi

Şi̇mşek

Akyiğit

2020

Math Methods in App Sciences

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“…Kirişçi andŞimşek [33] defined new concept known as neutrosophic metric space (NMS) with continuous t-norms and continuous t-conorms. Some notable features of NMS have been examined.…”

Section: Introductionmentioning

confidence: 99%

On $\mathcal{I}_{\theta }$-convergence in Neutrosophic Normed Spaces

Kı̇şı̇

2021

Fundamental Journal of Mathematics and Applications

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The purpose of this article is to investigate lacunary ideal convergence of sequences in neutrosophic normed space (NNS). Also, an original notion, named lacunary convergence of sequence in NNS, is defined. Also, lacunary I -limit points and lacunary I -cluster points of sequences in NNS have been examined. Furthermore, lacunary Cauchy and lacunary I -Cauchy sequences in NNS are introduced and some properties of these notions are studied.

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Fixed Point Theorems in Neutrosophic Soft Metric Space

Gupta

Aanchal

2023

Advances in Intelligent Systems and Computing

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Neutrosophic metric spaces

Cited by 36 publications

References 12 publications

Fixed point results for a new metric space

Fixed point results for a new metric space

On $\mathcal{I}_{\theta }$-convergence in Neutrosophic Normed Spaces

Fixed Point Theorems in Neutrosophic Soft Metric Space

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