Document Type : Research Paper

Authors

• Babak Mohammadi ¹
• Vahid Parvaneh ²
• Hasan Hosseinzadeh ³

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

• Fixed point
• complete metric space
• measure of noncompactness