Viscosity implicit midpoint scheme for enriched nonexpansive mappings
This article proposes and analyses a viscosity scheme for an enriched nonexpansive mapping. The scheme is incorporated with the implicit midpoint rule of stiff differential equations. We deduce some convergence properties of the scheme and establish that a sequence generated therefrom converges strongly to a fixed point of an enriched nonexpansive mapping provided such a point exists. Furthermore, we provide some examples of the implementation of the schemes with respect to certain enriched mappings and show the numerical pattern of the scheme.
Authors
- Songpon Sriwongsa (ORCID: https://orcid.org/0000-0002-5137-8113)
- Sani Salisu (ORCID: https://orcid.org/0000-0003-3387-4188)
- Yeol Je Cho (ORCID: https://orcid.org/0000-0002-1250-2214)
- Poom Kumam (ORCID: https://orcid.org/0000-0002-5463-4581)
Institutions
- Sule Lamido University Kafin Hausa (NG)
- Universitas 17 Agustus 1945 Semarang (ID)
- King Mongkut's University of Technology Thonburi (TH)
Publication Details
- Journal
- Constructive Mathematical Analysis
- Published
- 2024-12-04
- DOI
- https://doi.org/10.33205/cma.1540982
- Citations
- 2
- Primary Topic
- Optimization and Variational Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.72
Funders
- King Mongkut's University of Technology Thonburi
- Thailand Science Research and Innovation