University of MaraghehSahand Communications in Mathematical Analysis2322-580718220210501Some Common Fixed Point Results for Generalized $\alpha_*$-$\psi$-contractive Multi-valued Mappings on Ordered Metric Spaces with Application to Initial Value Problem11112824408910.22130/scma.2020.121445.753ENSajjadPahlavanyDepartment of pure Mathematics, Sarab Branch, Islamic Azad University, Sarab, Iran.JalalHassanzadeh AslDepartment of Mathematics, Faculty of Science, Tabriz Branch, Islamic Azad University Tabriz, Iran.0000-0001-8978-6030ShahramRezapourDepartment of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran.0000-0003-3463-2607Journal Article20200313In 2012, Samet, et al. introduced the notion of $\alpha$-$\psi$-contractive type mappings. They have been establish some fixed point theorems for the mappings on complete metric<br />spaces. In this paper, we introduce the notion of generalized $\alpha_*$-$\psi$-contractive multi-valued mappings and we give some related fixed point results on ordered metric spaces via application to an initial value problem.https://scma.maragheh.ac.ir/article_244089_5752c28db55da6f36bf857126e36261a.pdf