4 papers
Convergence Criteria of a Three Step Scheme under generalized Lipschitz Condition in Banach Spaces
Akanksha Saxena, J. P. Jaiswal, K. R. Pardasani
The goal of this study is to investigate the local convergence of a three-step Newton-Traub technique for solving nonlinear equations in Banach spaces with a convergence rate of fi…
Extended Local Convergence for Seventh order method with -continuity condition in Banach Spaces
Akanksha Saxena, J. P. Jaiswal, K. R. Pardasani
In this article, the local convergence analysis of the multi-step seventh order method is presented for solving nonlinear equations. The point worth noting in our paper is that our…
Broadening the convergence domain of Seventh-order method satisfying Lipschitz and Hölder conditions
Akanksha Saxena, J. P. Jaiswal, K. R. Pardasani
In this paper, the local convergence analysis of the multi-step seventh order method is presented for solving nonlinear equations assuming that the first-order Fréchet derivative b…
On the Local convergence of two-step Newton type Method in Banach Spaces under generalized Lipschitz Conditions
Akanksha Saxena, J. P. Jaiswal
The motive of this paper is to discuss the local convergence of a two-step Newton type method of convergence rate three for solving nonlinear equations in Banach spaces. It is assu…