Convergence, Stability, and Data Dependence Results for a new iteration method in Banach Space

Sahu, Omprakash; Banerjee, Amitabh

doi:10.21608/ejmaa.2024.253159.1103

Convergence, Stability, and Data Dependence Results for a new iteration method in Banach Space

Document Type : Regular research papers

Authors

Omprakash Sahu ¹
Amitabh Banerjee ²

¹ Department of Mathematics, Babu Pandhri Rao Kridatt Govt. College Silouti

² Principal, Govt. J. Y. Chhattisgarh College Raipur, India

10.21608/ejmaa.2024.253159.1103

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.

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Main Subjects