Extending the Applicability of Two-Step Solvers for Solving Equations

Extending the Applicability of Two-Step Solvers for Solving Equations

We present a local convergence of two-step solvers for solving nonlinear operator equations under the generalized Lipschitz conditions for the first- and second-order derivatives and for the first order divided differences. In contrast to earlier works, we use our new idea of center average Lipschit...

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Bibliographic Details
Main Authors: Ioannis K. Argyros, Stepan Shakhno
Format: Article
Language:English
Published: MDPI AG 2019-01-01
Series:Mathematics
Subjects:
nonlinear equation
iterative process
the convergence order
radius of convergence
non-differentiable operator
generalized Lipschitz condition
Online Access:http://www.mdpi.com/2227-7390/7/1/62

Internet

http://www.mdpi.com/2227-7390/7/1/62

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