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Document Type

Original Study

Abstract

The aforementioned study aims to tackle the shortcomings of current methods to solve Banach space-valued problems in nonlinear functional modeling using the Newton-Kantorovich technique. By increasing the convergent area, delivering smaller error limitations, supplying weaker adequate semi-local convergence standards, and supplying accurate data on the solution's position, the investigations seek for improvements on previous findings.

The aim of this research is optimal control issues, and its proposed method seeks to accomplish these gains not the need for more requirements. Additionally, the investigation indicates that additional iterative techniques can be extended along the same path using this strategy.

Numeric tests that explain the hypotheses are included in the investigation to our bolster claims and show the efficacy of the suggested approach.

Keywords

Newton-Kantorovich technique; Better Convergence; Semi-local convergence; Iterative methods

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