Random Fixed Point Theorems and Applications to Random First-Order Vector-Valued Differential Equations
| Autor: | Mohamed-Aziz Taoudi, Abdelmjid Khchine, Adil El-Ghabi |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Pure mathematics
Class (set theory) Article Subject Differential equation 010102 general mathematics Banach space Fixed-point theorem 01 natural sciences Measure (mathematics) 010101 applied mathematics Monotone polygon Compact space Ordinary differential equation QA1-939 0101 mathematics Mathematics Analysis |
| Zdroj: | Journal of Function Spaces, Vol 2021 (2021) |
| ISSN: | 2314-8896 |
| DOI: | 10.1155/2021/6648938 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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