Research and Reports on Mathematics

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Ioannis K. Argyrosand Santhosh George Author

Subjects of specialization
Computing, Informatics, Tissue Engineering

Affiliation
Cameron University Department of mechanical engineering

Biography

He is affiliated to Cameron University . He is a recipient of many awards and grants for his valuable contributions and discoveries in major area of subject research. His international experience includes various programs, contributions and participation in different countries for diverse fields of study.  His research interests reflect in his wide range of publications in various national and international journals. 


Publications

Research Article Open Access

Extending the Applicability of an Ulm-Newton-like Method under Generalized Conditions in Banach Space

Author(s):

Ioannis K. Argyros and Santhosh George

The aim of this paper is to extend the applicability of an Ulm-Newtonlike method for approximating a solution of a nonlinear equation in a Ba-nach space setting. The su cient local convergence conditions are weaker than in earlier works leading to a larger radius of convergence and more precise error estimates on the distances involved. Numerical examples are also provided in this study. AMS Subject Classi cation: 65H10, 65G99, 65J15,49M15.

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