On an open problem of Kyung Soo Kim
© 2015, Panyanak. We prove a convergence theorem of the Mann iteration scheme for a uniformly L-Lipschitzian asymptotically demicontractive mapping in a CAT(κ) space with κ > 0. We also obtain a convergence theorem of the Ishikawa iteration scheme for a uniformly L-Lipschitzian asymptotically hem...
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th-cmuir.6653943832-546342018-09-04T10:19:04Z On an open problem of Kyung Soo Kim Bancha Panyanak Mathematics © 2015, Panyanak. We prove a convergence theorem of the Mann iteration scheme for a uniformly L-Lipschitzian asymptotically demicontractive mapping in a CAT(κ) space with κ > 0. We also obtain a convergence theorem of the Ishikawa iteration scheme for a uniformly L-Lipschitzian asymptotically hemicontractive mapping. Our results provide a complete solution to an open problem raised by Kim (Abstr. Appl. Anal. 2013:381715, 2013). 2018-09-04T10:19:04Z 2018-09-04T10:19:04Z 2015-12-01 Journal 16871812 16871820 2-s2.0-84944322843 10.1186/s13663-015-0438-7 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84944322843&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/54634 |
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Mathematics |
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Mathematics Bancha Panyanak On an open problem of Kyung Soo Kim |
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© 2015, Panyanak. We prove a convergence theorem of the Mann iteration scheme for a uniformly L-Lipschitzian asymptotically demicontractive mapping in a CAT(κ) space with κ > 0. We also obtain a convergence theorem of the Ishikawa iteration scheme for a uniformly L-Lipschitzian asymptotically hemicontractive mapping. Our results provide a complete solution to an open problem raised by Kim (Abstr. Appl. Anal. 2013:381715, 2013). |
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Journal |
| author |
Bancha Panyanak |
| author_facet |
Bancha Panyanak |
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Bancha Panyanak |
| title |
On an open problem of Kyung Soo Kim |
| title_short |
On an open problem of Kyung Soo Kim |
| title_full |
On an open problem of Kyung Soo Kim |
| title_fullStr |
On an open problem of Kyung Soo Kim |
| title_full_unstemmed |
On an open problem of Kyung Soo Kim |
| title_sort |
on an open problem of kyung soo kim |
| publishDate |
2018 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84944322843&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/54634 |
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