Sana Hadj Amor, Ameni Remadi
Department of Mathematics, Higher School of Sciences and Technology, LR 11 ES 35, University of Sousse, Hammam Sousse, Tunisia.
Motivated by the study of neutral differential inclusions, we establish a new fixed point theorem for multivalued countably Meir–Keeler condensing mappings based on an arbitrary measure of weak noncompactness. This framework generalizes and unifies several classical results, including the fixed point theorems of Krasnoselskii and Dhage, as particular cases in nonseparable spaces.
Keywords: Meir–Keeler condensing operators; Measure of weak noncompactness; Neutral differential inclusions.
Amor, S. H., & Remadı, A. (2022). Solutions of neutral differential inclusions. Advances in the Theory of Nonlinear Analysis and its Application, 6(1), 74-92.