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J Inequal Appl. 2018;2018(1):270. doi: 10.1186/s13660-018-1866-9. Epub 2018 Oct 5.

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

Author information

1Department of Mathematics, College of Education in Jubail, Imam Abdulrahman Bin Faisal University, Jubail, Saudi Arabia.
2Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan.
3Department of Mathematics, Faculty of Sciences, Al-Azhar University, Assiut, Egypt.
4Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City, Vietnam.
5Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam.
Vienna University of Technology, Institute of Computer Languages, Vienna, Austria.


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.


H + -type Pompeiu–Hausdorff metric; Suzuki-type fixed point result; Weak partial metric

Conflict of interest statement

The authors declare that they have no competing interests.

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