Abstract

A new two-point iteration of order three is introduced to approximate a solution of a nonlinear operator equation in Banach spaces. Under the same assumptions as for Newton's method, we provide a result on the existence of a unique solution for the nonlinear equation, which is based on a technique consisting of a new system of recurrence relations.

Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call