A Mizoguchi-Takahashi Type Fixed Point Theorem in Complete Extended b-Metric Spaces

被引：15

作者：

Alamgir, Nayab ^{[1
]}

Kiran, Quanita ^{[2
]}

Aydi, Hassen ^{[3
,4
]}

Mukheimer, Aiman ^{[5
]}

机构：

[1] Natl Univ Sci & Technol, Sch Nat Sci, Sect H-12, Islamabad 44000, Pakistan

[2] Natl Univ Sci & Technol, Sch Elect Engn & Comp Sci, Sect H-12, Islamabad 44000, Pakistan

[3] Univ Sousse, Inst Super Informat & Tech Commun, H Sousse 4000, Tunisia

[4] China Med Univ, China Med Univ Hosp, Taichung 40402, Taiwan

[5] Prince Sultan Univ Riyadh, Dept Math & Gen Sci, Riyadh 11586, Saudi Arabia

来源：

MATHEMATICS | 2019年 / 7卷 / 05期

关键词：

complete extended b-metric space; Hausdorff metric; fixed point theorems; MAPPINGS;

D O I：

10.3390/math7050478

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove a new fixed point theorem for a multi-valued mapping from a complete extended b-metric space U into the non empty closed and bounded subsets of U, which generalizes Nadler's fixed point theorem. We also establish some fixed point results, which generalize our first result. Furthermore, we establish Mizoguchi-Takahashi's type fixed point theorem for a multi-valued mapping from a complete extended b-metric space U into the non empty closed and bounded subsets of U that improves many existing results in the literature.

引用

页数：15

共 22 条

[1] Double Controlled Metric Type Spaces and Some Fixed Point Results [J].

Abdeljawad, Thabet ;

Mlaiki, Nabil ;

Aydi, Hassen ;

Souayah, Nizar .

MATHEMATICS, 2018, 6 (12)

[2] Solution of Volterra integral inclusion in b-metric spaces via new fixed point theorem [J].

Ali, Muhammad Usman ;

Kamran, Tayyab ;

Postolache, Mihai .

NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2017, 22 (01) :17-30

[3]

[Anonymous], 1905, GAUTHIERVILLARS PARI

[4]

[Anonymous], 1974, Topologie Generale.

[5] Common fixed points for multivalued generalized contractions on partial metric spaces [J].

Aydi, Hassen ;

Abbas, Mujahid ;

Vetro, Calogero .

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2014, 108 (02) :483-501

[6] Partial Hausdorff metric and Nadler's fixed point theorem on partial metric spaces [J].

Aydi, Hassen ;

Abbas, Mujahid ;

Vetro, Calogero .

TOPOLOGY AND ITS APPLICATIONS, 2012, 159 (14) :3234-3242

[7]

Bakhtin I., 1989, Functinal Analysis Ulianowsk Gos. Ped. Inst, V30, P26, DOI DOI 10.1039/AP9892600037

[8]

Czerwik S., 1993, Acta Math. Inf. Univ. Ostrav, V1, P5

[9]

Czerwik S., 1998, Atti Semin. Mat. Fis. Univ. Modena., V46, P263

[10] Fixed point theorems for multi-valued contractive mappings and multi-valued Caristi type mappings [J].

Feng, YQ ;

Liu, SY .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 317 (01) :103-112

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