Fuzzy b-metric spaces: Fixed point results for ψ-contraction correspondences and their application

Mujahid Abbas; Fatemeh Lael; Naeem Saleem

doi:10.3390/AXIOMS9020036

Fuzzy b-metric spaces: Fixed point results for ψ-contraction correspondences and their application

Mujahid Abbas
, Fatemeh Lael
, Naeem Saleem

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

19 Citations (Scopus)

Abstract

In this paper we introduce the concepts of ψ-contraction and monotone ψ-contraction correspondence in "fuzzy b-metric spaces" and obtain fixed point results for these contractive mappings. The obtained results generalize some existing ones in fuzzy metric spaces and "fuzzy b-metric spaces". Further we address an open problem in b-metric and "fuzzy b-metric spaces". To elaborate the results obtained herein we provide an example that shows the usability of the obtained results.

Original language	English
Article number	36
Journal	Axioms
Volume	9
Issue number	2
DOIs	https://doi.org/10.3390/AXIOMS9020036
Publication status	Published - 1 Jun 2020
Externally published	Yes

Keywords

B-metric space
Correspondence
Fixed point
Fuzzy b-metric space

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Mathematical Physics
Logic
Geometry and Topology

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10.3390/AXIOMS9020036

Cite this

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title = "Fuzzy b-metric spaces: Fixed point results for ψ-contraction correspondences and their application",

abstract = "In this paper we introduce the concepts of ψ-contraction and monotone ψ-contraction correspondence in {"}fuzzy b-metric spaces{"} and obtain fixed point results for these contractive mappings. The obtained results generalize some existing ones in fuzzy metric spaces and {"}fuzzy b-metric spaces{"}. Further we address an open problem in b-metric and {"}fuzzy b-metric spaces{"}. To elaborate the results obtained herein we provide an example that shows the usability of the obtained results.",

keywords = "B-metric space, Correspondence, Fixed point, Fuzzy b-metric space",

author = "Mujahid Abbas and Fatemeh Lael and Naeem Saleem",

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doi = "10.3390/AXIOMS9020036",

language = "English",

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T1 - Fuzzy b-metric spaces

T2 - Fixed point results for ψ-contraction correspondences and their application

AU - Abbas, Mujahid

AU - Lael, Fatemeh

AU - Saleem, Naeem

PY - 2020/6/1

Y1 - 2020/6/1

N2 - In this paper we introduce the concepts of ψ-contraction and monotone ψ-contraction correspondence in "fuzzy b-metric spaces" and obtain fixed point results for these contractive mappings. The obtained results generalize some existing ones in fuzzy metric spaces and "fuzzy b-metric spaces". Further we address an open problem in b-metric and "fuzzy b-metric spaces". To elaborate the results obtained herein we provide an example that shows the usability of the obtained results.

AB - In this paper we introduce the concepts of ψ-contraction and monotone ψ-contraction correspondence in "fuzzy b-metric spaces" and obtain fixed point results for these contractive mappings. The obtained results generalize some existing ones in fuzzy metric spaces and "fuzzy b-metric spaces". Further we address an open problem in b-metric and "fuzzy b-metric spaces". To elaborate the results obtained herein we provide an example that shows the usability of the obtained results.

KW - B-metric space

KW - Correspondence

KW - Fixed point

KW - Fuzzy b-metric space

UR - https://www.scopus.com/pages/publications/85085111144

U2 - 10.3390/AXIOMS9020036

DO - 10.3390/AXIOMS9020036

M3 - Article

AN - SCOPUS:85085111144

SN - 2075-1680

VL - 9

JO - Axioms

JF - Axioms

IS - 2

M1 - 36

ER -

Fuzzy b-metric spaces: Fixed point results for ψ-contraction correspondences and their application

Abstract

Keywords

ASJC Scopus subject areas

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