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 h...

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Main Author: Bancha Panyanak
Format: Journal
Published: 2018
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http://cmuir.cmu.ac.th/jspui/handle/6653943832/44006
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-440062018-04-25T07:44:38Z On an open problem of Kyung Soo Kim Bancha Panyanak Agricultural and Biological Sciences © 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). 2018-01-24T04:37:01Z 2018-01-24T04:37:01Z 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/6653943832/44006
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Agricultural and Biological Sciences
spellingShingle Agricultural and Biological Sciences
Bancha Panyanak
On an open problem of Kyung Soo Kim
description © 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).
format Journal
author Bancha Panyanak
author_facet Bancha Panyanak
author_sort 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/6653943832/44006
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