Inexact Newton’s Method to Nonlinear Functions with Values in a Cone Using Restricted Convergence Domains

Ioannis K. Argyros, Santhosh George, Shobha M. Erappa

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Pages (from-to)953-959
Number of pages7
JournalInternational Journal of Applied and Computational Mathematics
Volume3
DOIs
Publication statusPublished - 01-12-2017

All Science Journal Classification (ASJC) codes

  • Computational Mathematics
  • Applied Mathematics

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