Completeness of b ∼ Metric Spaces and the Fixed Points of Generalized Multivalued Quasicontractions

被引：4

作者：

Ali, Basit ^{[1
]}

Abbas, Mujahid ^{[2
]}

de la Sen, Manuel ^{[3
]}

机构：

[1] Univ Management & Technol, Dept Math, Sch Sci, C-2 Johar Town, Lahore 54770, Pakistan

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

[3] Univ Basque Country, Inst Res & Dev Proc, Campus Leioa Bizkaia,POB 644 Bilbao, Leioa 48940, Spain

来源：

DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2020年 / 2020卷

关键词：

THEOREMS; EXISTENCE;

D O I：

10.1155/2020/5183291

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we present a completeness characterization of b similar to metric space via existence of fixed points of generalized multivalued quasicontractions. The purpose of this paper is twofold: (a) to establish the existence of fixed points of multivalued quasicontractions in the setup of b similar to metric spaces and (b) to establish completeness of ab similar to metric space which is a topological property in nature with existence of fixed points of generalized multivalued quasicontractions. Further, a comparison of our results with comparable results shows that the results obtained herein improve and unify the existing results in the literature applicable to the case where existing results fail.

引用

页数：13

共 30 条

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

Alolaiyan, Hanan ;

Ali, Basit ;

Abbas, Mujahid .

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2019, 27 (01) :5-33

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

Amini-Harandi, A. .

APPLIED MATHEMATICS LETTERS, 2011, 24 (11) :1791-1794

[3]

[Anonymous], 2008, J MATH SCI

[4] A fixed point theorem for set-valued quasi-contractions in b-metric spaces [J].

Aydi, Hassen ;

Bota, Monica-Felicia ;

Karapinar, Erdal ;

Mitrovic, Slobodanka .

FIXED POINT THEORY AND APPLICATIONS, 2012,

[5]

Banach S., 1922, Fundamenta Mathematicae, V3, P133, DOI DOI 10.4064/FM-3-1-133-181

[6] Variational principles, completeness and the existence of traps in behavioral sciences [J].

Bao, T. Q. ;

Cobzas, S. ;

Soubeyran, A. .

ANNALS OF OPERATIONS RESEARCH, 2018, 269 (1-2) :53-79

[7] GENERALIZATION OF BANACHS CONTRACTION PRINCIPLE [J].

CIRIC, LB .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 45 (02) :267-273

[8] Suzuki type fixed point theorems for generalized multi-valued mappings on a set endowed with two b-metrics [J].

Ciric, Ljubomir ;

Abbas, Mujahid ;

Rajovic, Miloje ;

Ali, Basit .

APPLIED MATHEMATICS AND COMPUTATION, 2012, 219 (04) :1712-1723

[9]

Cobzas S., 2018, Fundam. Prikl. Mat., V250, P127

[10]

Connell E.H., 1959, Proceedings of the American Mathematical Society, V10, P974, DOI [DOI 10.1090/S0002-9939-1959-0110093-3, 10.1090/s0002-9939-1959-0110093-3]

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