Using our new idea of restricted convergence domains, a robust convergence theorem for inexact Newton’s method is presented to find a solution of nonlinear inclusion problems in Banach space. Using this technique, we obtain tighter majorizing functions. Consequently, we get a larger convergence domain and tighter error bounds on the distances involved. Moreover, we obtain an at least as precise information on the location of the solution than in earlier studies. Furthermore, a numerical example is presented to show that our results apply to solve problems in cases earlier studies cannot.
|Number of pages
|International Journal of Applied and Computational Mathematics
|Published - 01-12-2017
All Science Journal Classification (ASJC) codes
- Computational Mathematics
- Applied Mathematics