A new extension to the controlled metric type spaces endowed with a graph

Nabil Mlaiki; Nizar Souayah; Thabet Abdeljawad; Hassen Aydi

doi:10.1186/s13662-021-03252-9

A new extension to the controlled metric type spaces endowed with a graph

Nabil Mlaiki
, Nizar Souayah
, Thabet Abdeljawad^*
, Hassen Aydi^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

41 Citations (Scopus)

Abstract

In this paper, we initiate a new extension of b-metric spaces, called controlled metric-like spaces, by changing the condition [℘(s,r)=0⇔s=r]by [℘(s,r)=0⇒s=r] and that means basically we may have a non-zero self-distance. We prove some fixed point theorems which generalize many results in the literature. Also, we present an interesting application to illustrate our results by considering controlled metric-like spaces endowed with a graph.

Original language	English
Article number	94
Journal	Advances in Difference Equations
Volume	2021
Issue number	1
DOIs	https://doi.org/10.1186/s13662-021-03252-9
Publication status	Published - Dec 2021
Externally published	Yes

Keywords

Controlled metric type space
Controlled metric-like space
Extended b-metric space
Fixed point
b-metric spaces

Access to Document

10.1186/s13662-021-03252-9

Cite this

@article{cbbd8b1c984d4d87bc8afaaf8468f8a9,

title = "A new extension to the controlled metric type spaces endowed with a graph",

abstract = "In this paper, we initiate a new extension of b-metric spaces, called controlled metric-like spaces, by changing the condition [℘(s,r)=0⇔s=r]by [℘(s,r)=0⇒s=r] and that means basically we may have a non-zero self-distance. We prove some fixed point theorems which generalize many results in the literature. Also, we present an interesting application to illustrate our results by considering controlled metric-like spaces endowed with a graph.",

keywords = "Controlled metric type space, Controlled metric-like space, Extended b-metric space, Fixed point, b-metric spaces",

author = "Nabil Mlaiki and Nizar Souayah and Thabet Abdeljawad and Hassen Aydi",

note = "Publisher Copyright: {\textcopyright} 2021, The Author(s).",

year = "2021",

month = dec,

doi = "10.1186/s13662-021-03252-9",

language = "English",

volume = "2021",

journal = "Advances in Difference Equations",

issn = "1687-1839",

publisher = "Springer Publishing Company",

number = "1",

}

TY - JOUR

T1 - A new extension to the controlled metric type spaces endowed with a graph

AU - Mlaiki, Nabil

AU - Souayah, Nizar

AU - Abdeljawad, Thabet

AU - Aydi, Hassen

PY - 2021/12

Y1 - 2021/12

N2 - In this paper, we initiate a new extension of b-metric spaces, called controlled metric-like spaces, by changing the condition [℘(s,r)=0⇔s=r]by [℘(s,r)=0⇒s=r] and that means basically we may have a non-zero self-distance. We prove some fixed point theorems which generalize many results in the literature. Also, we present an interesting application to illustrate our results by considering controlled metric-like spaces endowed with a graph.

AB - In this paper, we initiate a new extension of b-metric spaces, called controlled metric-like spaces, by changing the condition [℘(s,r)=0⇔s=r]by [℘(s,r)=0⇒s=r] and that means basically we may have a non-zero self-distance. We prove some fixed point theorems which generalize many results in the literature. Also, we present an interesting application to illustrate our results by considering controlled metric-like spaces endowed with a graph.

KW - Controlled metric type space

KW - Controlled metric-like space

KW - Extended b-metric space

KW - Fixed point

KW - b-metric spaces

UR - https://www.scopus.com/pages/publications/85100277549

U2 - 10.1186/s13662-021-03252-9

DO - 10.1186/s13662-021-03252-9

M3 - Article

AN - SCOPUS:85100277549

SN - 1687-1839

VL - 2021

JO - Advances in Difference Equations

JF - Advances in Difference Equations

IS - 1

M1 - 94

ER -

A new extension to the controlled metric type spaces endowed with a graph

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this