Some set-valued and multi-valued contraction results in fuzzy cone metric spaces

Saif Ur Rehman; Hassen Aydi; Gui Xiu Chen; Shamoona Jabeen; Sami Ullah Khan

doi:10.1186/s13660-021-02646-3

Some set-valued and multi-valued contraction results in fuzzy cone metric spaces

Saif Ur Rehman, Hassen Aydi^*, Gui Xiu Chen, Shamoona Jabeen, Sami Ullah Khan

^*Corresponding author for this work

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

8 Citations (Scopus)

Abstract

This paper aims to present the concept of multi-valued mappings in fuzzy cone metric spaces and prove some basic lemmas, a Hausdorff metric, and fixed point results for set-valued fuzzy cone-contraction and for multi-valued fuzzy cone-contraction mappings. We prove a fixed point theorem for multi-valued rational type fuzzy cone-contractions in fuzzy cone metric spaces. Our results extend and improve some results given in the literature.

Original language	English
Article number	110
Journal	Journal of Inequalities and Applications
Volume	2021
Issue number	1
DOIs	https://doi.org/10.1186/s13660-021-02646-3
Publication status	Published - 2021
Externally published	Yes

Keywords

Contraction conditions
Fixed point
Fuzzy cone metric space
Hausdorff metric

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10.1186/s13660-021-02646-3

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title = "Some set-valued and multi-valued contraction results in fuzzy cone metric spaces",

abstract = "This paper aims to present the concept of multi-valued mappings in fuzzy cone metric spaces and prove some basic lemmas, a Hausdorff metric, and fixed point results for set-valued fuzzy cone-contraction and for multi-valued fuzzy cone-contraction mappings. We prove a fixed point theorem for multi-valued rational type fuzzy cone-contractions in fuzzy cone metric spaces. Our results extend and improve some results given in the literature.",

keywords = "Contraction conditions, Fixed point, Fuzzy cone metric space, Hausdorff metric",

author = "Rehman, \{Saif Ur\} and Hassen Aydi and Chen, \{Gui Xiu\} and Shamoona Jabeen and Khan, \{Sami Ullah\}",

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AU - Aydi, Hassen

AU - Chen, Gui Xiu

AU - Jabeen, Shamoona

AU - Khan, Sami Ullah

PY - 2021

Y1 - 2021

N2 - This paper aims to present the concept of multi-valued mappings in fuzzy cone metric spaces and prove some basic lemmas, a Hausdorff metric, and fixed point results for set-valued fuzzy cone-contraction and for multi-valued fuzzy cone-contraction mappings. We prove a fixed point theorem for multi-valued rational type fuzzy cone-contractions in fuzzy cone metric spaces. Our results extend and improve some results given in the literature.

AB - This paper aims to present the concept of multi-valued mappings in fuzzy cone metric spaces and prove some basic lemmas, a Hausdorff metric, and fixed point results for set-valued fuzzy cone-contraction and for multi-valued fuzzy cone-contraction mappings. We prove a fixed point theorem for multi-valued rational type fuzzy cone-contractions in fuzzy cone metric spaces. Our results extend and improve some results given in the literature.

KW - Contraction conditions

KW - Fixed point

KW - Fuzzy cone metric space

KW - Hausdorff metric

UR - https://www.scopus.com/pages/publications/85108817231

U2 - 10.1186/s13660-021-02646-3

DO - 10.1186/s13660-021-02646-3

M3 - Article

AN - SCOPUS:85108817231

SN - 1025-5834

VL - 2021

JO - Journal of Inequalities and Applications

JF - Journal of Inequalities and Applications

IS - 1

M1 - 110

ER -

Some set-valued and multi-valued contraction results in fuzzy cone metric spaces

Abstract

Keywords

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