Revisiting the Kannan Type Contractions via Interpolation
In the paper we revisited the well-known fixed point theorem of Kannan under the aspect of interpolation. By using the interpolation notion, we propose a new Kannan type contraction to maximize the rate of convergence.
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| Format: | Article |
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2018-06-01
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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/596070 |
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doaj-842cea37f97443749e696123601358d52020-11-24T21:49:14ZengATNAAAdvances in the Theory of Nonlinear Analysis and its Applications2587-26482587-26482018-06-0122858710.31197/atnaa.431135Revisiting the Kannan Type Contractions via InterpolationErdal Karapınar0Department of Mathematics, Atilim University 06836, Incek, Ankara, TurkeyIn the paper we revisited the well-known fixed point theorem of Kannan under the aspect of interpolation. By using the interpolation notion, we propose a new Kannan type contraction to maximize the rate of convergence. http://dergipark.gov.tr/download/article-file/596070Kannan Type ContractionInterpolationfixed pointrate of convergence |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Erdal Karapınar |
| spellingShingle |
Erdal Karapınar Revisiting the Kannan Type Contractions via Interpolation Advances in the Theory of Nonlinear Analysis and its Applications Kannan Type Contraction Interpolation fixed point rate of convergence |
| author_facet |
Erdal Karapınar |
| author_sort |
Erdal Karapınar |
| title |
Revisiting the Kannan Type Contractions via Interpolation |
| title_short |
Revisiting the Kannan Type Contractions via Interpolation |
| title_full |
Revisiting the Kannan Type Contractions via Interpolation |
| title_fullStr |
Revisiting the Kannan Type Contractions via Interpolation |
| title_full_unstemmed |
Revisiting the Kannan Type Contractions via Interpolation |
| title_sort |
revisiting the kannan type contractions via interpolation |
| publisher |
ATNAA |
| series |
Advances in the Theory of Nonlinear Analysis and its Applications |
| issn |
2587-2648 2587-2648 |
| publishDate |
2018-06-01 |
| description |
In the paper we revisited the well-known fixed point theorem of Kannan under the aspect of interpolation.
By using the interpolation notion, we propose a new Kannan type contraction to maximize the rate of
convergence.
|
| topic |
Kannan Type Contraction Interpolation fixed point rate of convergence |
| url |
http://dergipark.gov.tr/download/article-file/596070 |
| work_keys_str_mv |
AT erdalkarapınar revisitingthekannantypecontractionsviainterpolation |
| _version_ |
1725888574247665664 |