Aydi Hassen, Barakat M A, Mitrović Zoran D, Šešum-Čavić Vesna
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.
J Inequal Appl. 2018;2018(1):270. doi: 10.1186/s13660-018-1866-9. Epub 2018 Oct 5.
Based on a recent paper of Beg and Pathak (Vietnam J. Math. 46(3):693-706, 2018), we introduce the concept of -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.
基于贝格和帕塔克最近的一篇论文（《越南数学杂志》46(3):693 - 706, 2018），我们引入了(\alpha)型铃木多值收缩映射的概念。我们在完备弱偏度量空间的背景下为这类映射建立了一个不动点定理。我们还给出了一个示例。此外，我们提供了同伦结果和弗雷德霍姆型积分包含的应用。最后，我们针对比完备弱偏度量空间更一般的(0 -)完备弱偏度量空间类提出了开放问题。
