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Approximation of Fixed Points for Mean Nonexpansive Mappings in Banach Spaces.
- Source :
-
Journal of Function Spaces . 6/19/2021, p1-6. 6p. - Publication Year :
- 2021
-
Abstract
- In this paper, we establish weak and strong convergence theorems for mean nonexpansive maps in Banach spaces under the Picard–Mann hybrid iteration process. We also construct an example of mean nonexpansive mappings and show that it exceeds the class of nonexpansive mappings. To show the numerical accuracy of our main outcome, we show that Picard–Mann hybrid iteration process of this example is more effective than all of the Picard, Mann, and Ishikawa iterative processes. [ABSTRACT FROM AUTHOR]
- Subjects :
- *BANACH spaces
*NONEXPANSIVE mappings
Subjects
Details
- Language :
- English
- ISSN :
- 23148896
- Database :
- Academic Search Index
- Journal :
- Journal of Function Spaces
- Publication Type :
- Academic Journal
- Accession number :
- 150984663
- Full Text :
- https://doi.org/10.1155/2021/1934274