Abstract
Based on a recent paper of Beg and Pathak (Vietnam J. Math. 46(3):693–706,
2018
), we introduce the concept of
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\begin{document}$\mathcal{H}_{q}^{+}$\end{document}
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.