| Title:
|
Some convergence, stability and data dependency results for a Picard-S iteration method of quasi-strictly contractive operators (English) |
| Author:
|
Ertürk, Müzeyyen |
| Author:
|
Gürsoy, Faik |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
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144 |
| Issue:
|
1 |
| Year:
|
2019 |
| Pages:
|
69-83 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We study some qualitative features like convergence, stability and data dependency for Picard-S iteration method of a quasi-strictly contractive operator under weaker conditions imposed on parametric sequences in the mentioned method. We compare the rate of convergence among the Mann, Ishikawa, Noor, normal-S, and Picard-S iteration methods for the quasi-strictly contractive operators. Results reveal that the Picard-S iteration method converges fastest to the fixed point of quasi-strictly contractive operators. Some numerical examples are given to validate the results obtained herein. Our results substantially improve many other results available in the literature. (English) |
| Keyword:
|
iteration method |
| Keyword:
|
quasi-strictly contractive operator |
| Keyword:
|
convergence |
| Keyword:
|
rate of convergence |
| Keyword:
|
stability |
| Keyword:
|
data dependency |
| MSC:
|
47H09 |
| MSC:
|
47H10 |
| MSC:
|
54H25 |
| idZBL:
|
Zbl 07088836 |
| idMR:
|
MR3934198 |
| DOI:
|
10.21136/MB.2018.0085-17 |
| . |
| Date available:
|
2019-03-21T12:31:49Z |
| Last updated:
|
2020-07-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147639 |
| . |
| Reference:
|
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