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

被引：10

作者：

Alolaiyan, Hanan ^{[1
]}

Ali, Basit ^{[2
,3
]}

Abbas, Mujahid ^{[2
,4
]}

机构：

[1] King Saud Univ, Dept Math, Riyadh, Saudi Arabia

[2] Univ Pretoria, Dept Math & Appl Math, Lynnwood Rd, ZA-0002 Pretoria, South Africa

[3] Univ Management & Technol, Sch Sci, Dept Math, C 2, Lahore 54770, Pakistan

[4] Govt Coll Univ, Dept Math, Lahore 54000, Pakistan

来源：

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA | 2019年 / 27卷 / 01期

关键词：

b-metric space; multivalued mapping; fixed point; stability; multivalued fractals; SET; STABILITY; THEOREMS; MAPPINGS;

D O I：

10.2478/auom-2019-0001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：5 / 33

页数：29

共 39 条

[1]

Abbas M, 2012, FIXED POINT THEOR-RO, V13, P3

[2] Fixed point theory for set-valued quasi-contraction maps in metric spaces [J].