Abstract
The purpose of this paper was to introduce the notion of generalized $$ \alpha _{*}$$ - $$\psi $$ -Geraghty contraction type for multivalued mappings and establish common fixed point theorems for such multivalued mappings in an $$\alpha $$ -complete b-metric spaces. We give an example for supporting these results. Moreover, an application of our main result to the existence of solutions to systems of ordinary differential equations is also presented.
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