Local convergence for a Chebyshev-type method in Banach space free of derivatives
This paper is devoted to the study of a Chebyshev-type method free of derivatives for solving nonlinear equations in Banach spaces. Using the idea of restricted convergence domain, we extended the applicability of the Chebyshev-type methods. Our convergence conditions are weaker than the condition...
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2018-03-01
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| Series: | Advances in the Theory of Nonlinear Analysis and its Applications |
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| Online Access: | http://dergipark.gov.tr/download/article-file/596105 |
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doaj-8a06b52ea4f6472abdd5798da8f7684a2020-11-24T21:22:26ZengATNAAAdvances in the Theory of Nonlinear Analysis and its Applications2587-26482587-26482018-03-0121626910.31197/atnaa.400459Local convergence for a Chebyshev-type method in Banach space free of derivativesIoannis K. Argyros0 Santhosh George1Department of Mathematical Sciences, Cameron University, Lawton, OK 73505, USADepartment of Mathematical and Computational Sciences, National Institute of Technology, Karnataka, 575 025, IndiaThis paper is devoted to the study of a Chebyshev-type method free of derivatives for solving nonlinear equations in Banach spaces. Using the idea of restricted convergence domain, we extended the applicability of the Chebyshev-type methods. Our convergence conditions are weaker than the conditions used in earlier studies. Therefore the applicability of the method is extended. Numerical examples where earlier results cannot apply to solve equations but our results can apply are also given in this studyhttp://dergipark.gov.tr/download/article-file/596105Chebyshev-type methodrestricted convergence domainradius of convergence |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Ioannis K. Argyros Santhosh George |
| spellingShingle |
Ioannis K. Argyros Santhosh George Local convergence for a Chebyshev-type method in Banach space free of derivatives Advances in the Theory of Nonlinear Analysis and its Applications Chebyshev-type method restricted convergence domain radius of convergence |
| author_facet |
Ioannis K. Argyros Santhosh George |
| author_sort |
Ioannis K. Argyros |
| title |
Local convergence for a Chebyshev-type method in Banach space free of derivatives |
| title_short |
Local convergence for a Chebyshev-type method in Banach space free of derivatives |
| title_full |
Local convergence for a Chebyshev-type method in Banach space free of derivatives |
| title_fullStr |
Local convergence for a Chebyshev-type method in Banach space free of derivatives |
| title_full_unstemmed |
Local convergence for a Chebyshev-type method in Banach space free of derivatives |
| title_sort |
local convergence for a chebyshev-type method in banach space free of derivatives |
| publisher |
ATNAA |
| series |
Advances in the Theory of Nonlinear Analysis and its Applications |
| issn |
2587-2648 2587-2648 |
| publishDate |
2018-03-01 |
| description |
This paper is devoted to the study of a Chebyshev-type method free of derivatives for solving nonlinear
equations in Banach spaces. Using the idea of restricted convergence domain, we extended the applicability
of the Chebyshev-type methods. Our convergence conditions are weaker than the conditions used in earlier
studies. Therefore the applicability of the method is extended. Numerical examples where earlier results
cannot apply to solve equations but our results can apply are also given in this study |
| topic |
Chebyshev-type method restricted convergence domain radius of convergence |
| url |
http://dergipark.gov.tr/download/article-file/596105 |
| work_keys_str_mv |
AT ioanniskargyros localconvergenceforachebyshevtypemethodinbanachspacefreeofderivatives AT santhoshgeorge localconvergenceforachebyshevtypemethodinbanachspacefreeofderivatives |
| _version_ |
1725995659242242048 |