Characterization of a b-metric space completeness via the existence of a fixed point of Ciric-Suzuki type quasi-contractive multivalued operators and applications

Hanan Alolaiyan; Basit Ali; Mujahid Abbas

doi:10.2478/auom-2019-0001

Characterization of a b-metric space completeness via the existence of a fixed point of Ciric-Suzuki type quasi-contractive multivalued operators and applications

Hanan Alolaiyan
, Basit Ali
, Mujahid Abbas

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

8 Citations (Scopus)

Abstract

The aim of this paper is to introduce Ciric-Suzuki type quasi-contractive multivalued operators and to obtain the existence of fixed points of such mappings in the framework of b-metric spaces. Some examples are presented to support the results proved herein. We establish a characterization of strong b-metric and b-metric spaces completeness. An asymptotic estimate of a Hausdorff distance between the fixed point sets of two Ciric Suzuki type quasi-contractive multivalued operators is obtained. As an application of our results, existence and uniqueness of multivalued fractals in the framework of b-metric spaces is proved.

Original language	English
Pages (from-to)	5-34
Number of pages	30
Journal	Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica
Volume	27
Issue number	1
DOIs	https://doi.org/10.2478/auom-2019-0001
Publication status	Published - 2019
Externally published	Yes

Keywords

B-metric space
fixed point
Multivalued fractals
Multivalued mapping
Stability

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.2478/auom-2019-0001

Cite this

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abstract = "The aim of this paper is to introduce Ciric-Suzuki type quasi-contractive multivalued operators and to obtain the existence of fixed points of such mappings in the framework of b-metric spaces. Some examples are presented to support the results proved herein. We establish a characterization of strong b-metric and b-metric spaces completeness. An asymptotic estimate of a Hausdorff distance between the fixed point sets of two Ciric Suzuki type quasi-contractive multivalued operators is obtained. As an application of our results, existence and uniqueness of multivalued fractals in the framework of b-metric spaces is proved.",

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year = "2019",

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language = "English",

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pages = "5--34",

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Characterization of a b-metric space completeness via the existence of a fixed point of Ciric-Suzuki type quasi-contractive multivalued operators and applications. / Alolaiyan, Hanan; Ali, Basit; Abbas, Mujahid.
In: Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica, Vol. 27, No. 1, 2019, p. 5-34.

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

TY - JOUR

T1 - Characterization of a b-metric space completeness via the existence of a fixed point of Ciric-Suzuki type quasi-contractive multivalued operators and applications

AU - Alolaiyan, Hanan

AU - Ali, Basit

AU - Abbas, Mujahid

PY - 2019

Y1 - 2019

N2 - The aim of this paper is to introduce Ciric-Suzuki type quasi-contractive multivalued operators and to obtain the existence of fixed points of such mappings in the framework of b-metric spaces. Some examples are presented to support the results proved herein. We establish a characterization of strong b-metric and b-metric spaces completeness. An asymptotic estimate of a Hausdorff distance between the fixed point sets of two Ciric Suzuki type quasi-contractive multivalued operators is obtained. As an application of our results, existence and uniqueness of multivalued fractals in the framework of b-metric spaces is proved.

AB - The aim of this paper is to introduce Ciric-Suzuki type quasi-contractive multivalued operators and to obtain the existence of fixed points of such mappings in the framework of b-metric spaces. Some examples are presented to support the results proved herein. We establish a characterization of strong b-metric and b-metric spaces completeness. An asymptotic estimate of a Hausdorff distance between the fixed point sets of two Ciric Suzuki type quasi-contractive multivalued operators is obtained. As an application of our results, existence and uniqueness of multivalued fractals in the framework of b-metric spaces is proved.

KW - B-metric space

KW - fixed point

KW - Multivalued fractals

KW - Multivalued mapping

KW - Stability

UR - https://www.scopus.com/pages/publications/85064506346

U2 - 10.2478/auom-2019-0001

DO - 10.2478/auom-2019-0001

M3 - Article

AN - SCOPUS:85064506346

SN - 1224-1784

VL - 27

SP - 5

EP - 34

JO - Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica

JF - Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica

IS - 1

ER -

Characterization of a b-metric space completeness via the existence of a fixed point of Ciric-Suzuki type quasi-contractive multivalued operators and applications

Abstract

Keywords

ASJC Scopus subject areas

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