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We present local and semilocal convergence results for Newton’s method in order to approximate solutions of semismooth equations. The local convergence results are given under weaker conditions than in earlier studies resulting to a larger convergence ball and a smaller radio of convergence. In the semilocal convergence case weaker conditions than before conditions are employed to show the convergence of Newton’s method. Numerical examples illustrating the advantages of our approach are also presented in this study.
How to Cite this Article:
I. K. Argyros, D. Gonzalez, On Newton’s method for semismooth equations, Journal of Nonlinear Functional Analysis 2016 (2016), Article ID 24.