Mohamed Aziz Taoudi, Fixed point theorems via vector-valued measures of noncompactness with applications to semilinear neutral differential equations, Vol. 2024 (2024), Article ID 26, pp. 1-12

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DOI: 10.23952/cot.2024.26

Received September 16, 2023; Accepted November 29, 2023; Published online April 4, 2024

 

Abstract. In this paper, we prove some Darbo-Sadovskii type fixed point theorems associated with vector-valued measures of noncompactness in locally convex spaces. As an application of our results, we investigate the existence of mild solutions for a broad class of semilinear neutral differential equations.

 

How to Cite this Article:
M.A. Taoudi, Fixed point theorems via vector-valued measures of noncompactness with applications to semilinear neutral differential equations, Commun. Optim. Theory 2024 (2024) 26.