Some Wardowski-Mizogochi-Takahashi-Type generalizations of the multi-valued version of Darbo's fixed point theorem with applications | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 10، دوره 14، شماره 11، بهمن 2023، صفحه 115-125 اصل مقاله (411.72 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.23057.2470 | ||
| نویسندگان | ||
| Babak Mohammadi1؛ Vahid Parvaneh* 2؛ Hasan Hosseinzadeh3 | ||
| 1Department of Mathematics, Marand Branch, Islamic Azad University, Marand, Iran | ||
| 2Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E- Gharb, Iran | ||
| 3Department of Mathematics, Ardabil Branch, Islamic Azad University, Ardabil, Iran | ||
| چکیده | ||
| 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 $BC(\mathbb{R}_+,E)$. | ||
| کلیدواژهها | ||
| Fixed point؛ complete metric space؛ measure of noncompactness | ||
| مراجع | ||
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