Abstract
We give a multi-valued version of M iterative process [K. Ullah and M. Arshad, Numerical reckoning fixed points Suzuki's generalized nonexpansive mappings via new iteration process, Filomat 32 (2018) 187-196] in the setting of Banach spaces. After this, we prove some weak and strong convergence results for the class of multi-valued quasi-nonexpansive mappings (which contains the class of multi-valued nonexpansive mappings) with proper numerical examples using multi-valued version of M-iteration process. These results generalize several well-known comparable results in the literature.
| Original language | English |
|---|---|
| Article number | 2350017 |
| Journal | Asian-European Journal of Mathematics |
| Volume | 16 |
| Issue number | 2 |
| DOIs | |
| State | Published - 1 Feb 2023 |
Bibliographical note
Publisher Copyright:© 2023 World Scientific Publishing Company.
Keywords
- Banach space
- M-iteration process
- Multi-valued mapping
- fixed point
- strong convergence
- weak convergence
ASJC Scopus subject areas
- General Mathematics