Characterization of a b-metric space completeness via the existence of a fixed point of Ciric-Suzuki type quasi-contractive multivalued operators and applications-Reference-Cited by-同舟云学术

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

Published:2019-03-01 Issue:1 Volume:27 Page:5-33
ISSN:1844-0835
Container-title:Analele Universitatii "Ovidius" Constanta - Seria Matematica
language:en
Short-container-title:

Author:

Alolaiyan Hanan¹,Ali Basit²,Abbas Mujahid³

Affiliation:

1. Department of Mathematics , King Saud University , Saudi Arabia .

2. Department of Mathematics and Applied Mathematics , University of Pretoria , Lynnwood road, Pretoria 0002 , South Africa , and Department of Mathematics, School of Sciences , University of Management and Technology , C-II, Johar Town, Lahore , 54770 , Pakistan .

3. Department of Mathematics , Government College University (GCU) , Lahore - 54000 , Pakistan , and Department of Mathematics and Applied Mathematics , University of Pretoria , Lynnwood road, Pretoria 0002 , South Africa .

Abstract

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.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/auom-2019-0001

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