Document Type : Research Paper
Authors
1 Department of Mathematics, Marand Branch, Islamic Azad University, Marand, Iran
2 Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E- Gharb, Iran
3 Department of Mathematics, Ardabil Branch, Islamic Azad University, Ardabil, Iran
Abstract
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 $BC(\mathbb{R}_+,E)$.
Keywords