Random Fixed Point Theorems and Applications to Random First-Order Vector-Valued Differential Equations. (5th March 2021)

• Record Type: Journal Article
• Authors: El-Ghabi, Adil; Khchine, Abdelmjid; Taoudi, Mohamed Aziz
• Other Names: Hussain Nawab Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-03-05
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/6648938
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In this paper, we establish several random fixed point theorems for random operators satisfying some iterative condition w.r.t. a measure of noncompactness. We also discuss the case of monotone random operators in ordered Banach spaces. Our results extend several earlier works, including Itoh's random fixed point theorem. As an application, we discuss the existence of random solutions to a class of random first-order vector-valued ordinary differential equations with lack of compactness.