LOCAL CONVERGENCE FOR JARRATT-LIKE ITERATIVE METHODS IN BANACH SPACE UNDER WEAK CONDITIONS

Authors

  • IOANNIS K. ARGYROS Cameron University, Department of Mathematical Sciences, Lawton, OK 73505, USA
  • SANTHOSH GEORGE Department of Mathematical and Computational Sciences, National Institute of Technology Karnataka, India

Keywords:

Jarratt-like method, radius of convergence, local convergence, restricted convergence domains

Abstract

We study the method considered in Sharma and Arora(2014), for solving systems of nonlinear equations, modified suitably to include the nonlinear equations in Banach spaces. Our conditions are weaker than the conditions used in earlier studies. Numerical examples where earlier results cannot apply to solve equations but our results can apply are also given in this study.

Author Biography

SANTHOSH GEORGE, Department of Mathematical and Computational Sciences, National Institute of Technology Karnataka, India

Professor, Department of Mathematical and Computational Sciences, National Institute of Technology Karnataka, India

Additional Files

Published

02/01/2018

Issue

Vol. 7 No. 2 (2016): JNAO

Section

Research Articles

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Copyright (c) 2010 Journal of Nonlinear Analysis and Optimization: Theory & Applications

Creative Commons License

This work is licensed under aย Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.