Some fixed point theorems in Banach spaces and application to a transport equation with delayed neutrons
Overview & Synopsis
In this paper, we present some fixed point theorems of Krasnosel'skii type in Banach spaces. The involved operators need not to be compact nor weakly continuous. The results are obtained and formulated with the use of the measures of weak noncompactness and a large classes of contractions (strict contractions, nonlinear contractions as well as nonexpansive or pseudocontractive mappings). Throughout the paper, we use the hypothesis (H1) and (H2), which are one of the main ingredients of the proofs. Finally, with the obtained fixed point results, we discuss the existence of solutions to a stationary transport equation with delayed neutrons.
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Document Information
| Document Title | Some fixed point theorems in Banach spaces and application to a transport equation with delayed neutrons |
|---|---|
| Author / Organization | Mohamed Yassine Abdallah, Khalid Latrach, Ahmed Zeghal |
| Subject & Discipline | Multidisciplinary Academic Open Research |
| Categories | Science & Mathematics |
| Publication Year | 2021 |
| License / Rights | Open Access / Creative Commons |
| Resource Verification | Listed PDF (Verification Pending) |
| Original Host Website |
HAL Open Science
(hal.science)
|
| File Format | application/pdf (Portable Document Format) |
| Language | EN |
| Catalog ID | DOC-146899 |
| Original Source Link | Visit Source Page on hal.science » |