Some Wardowski-Mizogochi-Takahashi-Type generalizations of the multi-valued version of Darbo's fixed point theorem with applications

In this paper, we extend the multi-valued version of Darbo's fixed point theorem using generalized Mizogochi-Takahashi mappings of the Wardowski type. The technique of measure of noncompactness is the main tool in carrying out our proofs. As an application, we investigate the existence of solutions for an integral inclusion on the space BC(\mathbb{R}_+,E).

کلیدواژه ها:

Fixed point ، Complete metric space ، Measure of noncompactness