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

Authors

  • I. Argyros Cameron University, Department of Mathematical Sciences, Lawton, OK 73505, USA
  • S. George Department of Mathematical and Computational Sciences, National Institute of Technology Karnataka, India

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

S. 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

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Published

2018-02-01

How to Cite

Argyros, I., & George, S. (2018). LOCAL CONVERGENCE FOR JARRATT-LIKE ITERATIVE METHODS IN BANACH SPACE UNDER WEAK CONDITIONS. Journal of Nonlinear Analysis and Optimization: Theory & Applications, 7(2), 17-25. Retrieved from http://www.math.sci.nu.ac.th/ojs302/index.php/jnao/article/view/472

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Section

Research Article

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