Convergence, Stability, and Data Dependence Results for a new iteration method in Banach Space | ||||
| Electronic Journal of Mathematical Analysis and Applications | ||||
| Volume 12, Issue 1, January 2024, Page 1-12 PDF (288.52 K) | ||||
| Document Type: Regular research papers | ||||
| DOI: 10.21608/ejmaa.2024.253159.1103 | ||||
 View on SCiNiTO | ||||
| Authors | ||||
Omprakash Sahu   1; Amitabh Banerjee2
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| 1Department of Mathematics, Babu Pandhri Rao Kridatt Govt. College Silouti | ||||
| 2Principal, Govt. J. Y. Chhattisgarh College Raipur, India | ||||
| Abstract | ||||
| In this paper, we introduce a new iterative process and show that our iteration scheme is faster than other existing iteration schemes with the help of numerical examples. Next, we have established convergence, stability, and data dependency results for the approximation of fixed points of the Contractive-like mapping in the framework of uniformly convex Banach space. In this paper, we introduce a new iterative process and show that our iteration scheme is faster than other existing iteration schemes with the help of numerical examples. Next, we have established convergence, stability, and data dependency results for the approximation of fixed points of the Contractive-like mapping in the framework of uniformly convex Banach space. In this paper, we introduce a new iterative process and show that our iteration scheme is faster than other existing iteration schemes with the help of numerical examples. Next, we have established convergence, stability, and data dependency results for the approximation of fixed points of the Contractive-like mapping in the framework of uniformly convex Banach space. | ||||
| Keywords | ||||
| 47H09; 47H10; 47H20 | ||||
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