| Title:
|
Positive solutions for a class of non-autonomous second order difference equations via a new functional fixed point theorem (English) |
| Author:
|
Bouchal, Lydia |
| Author:
|
Mebarki, Karima |
| Author:
|
Georgiev b , Svetlin Georgiev |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
58 |
| Issue:
|
4 |
| Year:
|
2022 |
| Pages:
|
199-211 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, by using recent results on fixed point index, we develop a new fixed point theorem of functional type for the sum of two operators $T+S$ where $I-T$ is Lipschitz invertible and $S$ a $k$-set contraction. This fixed point theorem is then used to establish a new result on the existence of positive solutions to a non-autonomous second order difference equation. (English) |
| Keyword:
|
fixed point |
| Keyword:
|
sum of operators |
| Keyword:
|
non-autonomous difference equations |
| Keyword:
|
positive solution |
| MSC:
|
39A27 |
| MSC:
|
47H10 |
| idZBL:
|
Zbl 07655743 |
| idMR:
|
MR4529813 |
| DOI:
|
10.5817/AM2022-4-199 |
| . |
| Date available:
|
2022-11-28T12:20:12Z |
| Last updated:
|
2023-08-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/151146 |
| . |
| Reference:
|
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