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Efficient fixed-point iteration for generalized nonexpansive mappings and its stability in Banach spaces
- Source :
- Open Mathematics, Vol 20, Iss 1, Pp 1753-1769 (2022)
- Publication Year :
- 2022
- Publisher :
- De Gruyter, 2022.
-
Abstract
- The aim of this article is to design a new iteration process for solving certain fixed-point problems. In particular, we prove weak and strong convergence theorems for generalized nonexpansive mappings in the framework of uniformly convex Banach spaces. In addition, we discuss the stability of the solution under mild conditions. Further, we provide some numerical examples to indicate that the proposed method works properly.
Details
- Language :
- English
- ISSN :
- 23915455
- Volume :
- 20
- Issue :
- 1
- Database :
- Directory of Open Access Journals
- Journal :
- Open Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.79eb56d5479940599b1a1a197bfae5bb
- Document Type :
- article
- Full Text :
- https://doi.org/10.1515/math-2022-0461