Extending the applicability of Newton's and Secant methods under regular smoothness

The concept of regular smoothness has been shown to be an appropriate and powerfull tool for the convergence of iterative procedures converging to a locally unique solution of an operator equation in a Banach space setting.  Motivated by earlier works, and optimization considerations, we present a...

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Bibliographic Details
Main Authors: Ioannis K. Argyros, Santhosh George, Shobha M. Erappa
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2020-10-01
Series:Boletim da Sociedade Paranaense de Matemática
Online Access:https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/42132