Abstract
We propose a new Jungck-S iteration method for a class of quasicontractive operators on a convex metric space and study its strong convergence, rate of convergence and stability. We also provide conditions under which convergence of this method is equivalent to Jungck-Ishikawa iteration method. Some numerical examples are provided to validate the theoretical findings obtained herein. Our results are refinement and extension of the corresponding ones existing in the current literature.
| Original language | English |
|---|---|
| Pages (from-to) | 101-121 |
| Number of pages | 21 |
| Journal | Publications de l'Institut Mathematique |
| Volume | 105 |
| Issue number | 119 |
| DOIs | |
| State | Published - 2019 |
Bibliographical note
Publisher Copyright:© 2019, Mathematical Institute of the Serbian Academy of Sciences and Arts.
Keywords
- Convergence
- Jungck type iteration methods
- Quasi-contractive operators
- Rate of convergence
- Stability
ASJC Scopus subject areas
- General Mathematics
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