Open Access

  

Original research article

Solutions of Neutral Differential Inclusions

Author(s):

Sana Hadj Amor, Ameni Remadi

Department of Mathematics, Higher School of Sciences and Technology, LR 11 ES 35, University of Sousse, Hammam Sousse, Tunisia.

Advances in the Theory of Nonlinear Analysis and its Applications 6(1), 74-92.
Received: August 21, 2021

  

  

  

Accepted: November 23, 2021

  

Published: November 25, 2021

Abstract

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.

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APA Style

Amor, S. H., & Remadı, A. (2022). Solutions of neutral differential inclusions. Advances in the Theory of Nonlinear Analysis and its Application6(1), 74-92.