Extended Higher Order Iterative Method for Nonlinear Equations and its Convergence Analysis in Banach Spaces
Gagan Deep,
Ioannis K. Argyros,
Gaurav Verma
et al.
Abstract:In this article, a novel higher order iterative method for solving nonlinear equations is developed. The new iterative method obtained from fifth order Newton-Özban method attains eighth order of convergence by adding a single step with only one additional function evaluation. The method is extended to Banach spaces and its local as well as semi-local convergence analysis is done under generalized continuity conditions. The existence and uniqueness results of solution are also provided along with radii of conv… Show more
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