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

Document Type : Research Paper


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



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 $BC(\mathbb{R}_+,E)$.


Articles in Press, Corrected Proof
Available Online from 03 March 2023
  • Receive Date: 04 April 2021
  • Revise Date: 05 January 2023
  • Accept Date: 07 January 2023
  • First Publish Date: 03 March 2023