A Suzuki-type multivalued contraction on weak partial metric spaces and applications

被引：15

作者：

Aydi, Hassen ^{[1
,2
]}

Barakat, M. A. ^{[3
]}

Mitrovic, Zoran D. ^{[4
,5
]}

Sesum-Cavic, Vesna ^{[6
]}

机构：

[1] Imam Abdulrahman Bin Faisal Univ, Coll Educ Jubail, Dept Math, Jubail Ind City, Saudi Arabia

[2] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan

[3] Al Azhar Univ, Dept Math, Fac Sci, Assiut, Egypt

[4] Ton Duc Thang Univ, Nonlinear Anal Res Grp, Ho Chi Minh City, Vietnam

[5] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City, Vietnam

[6] Vienna Univ Technol, Inst Comp Languages, Vienna, Austria

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2018年

关键词：

Weak partial metric; H+-type Pompeiu-Hausdorff metric; Suzuki-type fixed point result; FIXED-POINTS; PSI; THEOREM;

D O I：

10.1186/s13660-018-1866-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Based on a recent paper of Beg and Pathak (Vietnam J. Math. 46(3): 693-706, 2018), we introduce the concept of H-q(+)-type Suzuki multivalued contraction mappings. We establish a fixed point theorem for this type of mappings in the setting of complete weak partial metric spaces. We also present an illustrated example. Moreover, we provide applications to a homotopy result and to an integral inclusion of Fredholm type. Finally, we suggest open problems for the class of 0-complete weak partial metric spaces, which is more general than complete weak partial metric spaces.

引用

页数：14

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