Hybrid Methods for a Countable Family of G-Nonexpansive Mappings in Hilbert Spaces Endowed with Graphs
In this paper, we introduce the iterative scheme for finding a common fixed point of a countable family of G-nonexpansive mappings by the shrinking projection method which generalizes Takahashi Takeuchi and Kubota’s theorem in a Hilbert space with a directed graph. Simultaneously, we give...
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doaj-fc319d0db85a4ffea9f9f0ee923caca42020-11-25T00:39:17ZengMDPI AGMathematics2227-73902019-10-0171093610.3390/math7100936math7100936Hybrid Methods for a Countable Family of G-Nonexpansive Mappings in Hilbert Spaces Endowed with GraphsSuthep Suantai0Mana Donganont1Watcharaporn Cholamjiak2Data Science Research Center, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, ThailandSchool of Science, University of Phayao, Phayao 56000, ThailandSchool of Science, University of Phayao, Phayao 56000, ThailandIn this paper, we introduce the iterative scheme for finding a common fixed point of a countable family of G-nonexpansive mappings by the shrinking projection method which generalizes Takahashi Takeuchi and Kubota’s theorem in a Hilbert space with a directed graph. Simultaneously, we give examples and numerical results for supporting our main theorems and compare the rate of convergence of some examples under the same conditions.https://www.mdpi.com/2227-7390/7/10/936g-nonexpansive mappinghybrid method<i>nst</i>-conditioniterationhilbert space |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Suthep Suantai Mana Donganont Watcharaporn Cholamjiak |
spellingShingle |
Suthep Suantai Mana Donganont Watcharaporn Cholamjiak Hybrid Methods for a Countable Family of G-Nonexpansive Mappings in Hilbert Spaces Endowed with Graphs Mathematics g-nonexpansive mapping hybrid method <i>nst</i>-condition iteration hilbert space |
author_facet |
Suthep Suantai Mana Donganont Watcharaporn Cholamjiak |
author_sort |
Suthep Suantai |
title |
Hybrid Methods for a Countable Family of G-Nonexpansive Mappings in Hilbert Spaces Endowed with Graphs |
title_short |
Hybrid Methods for a Countable Family of G-Nonexpansive Mappings in Hilbert Spaces Endowed with Graphs |
title_full |
Hybrid Methods for a Countable Family of G-Nonexpansive Mappings in Hilbert Spaces Endowed with Graphs |
title_fullStr |
Hybrid Methods for a Countable Family of G-Nonexpansive Mappings in Hilbert Spaces Endowed with Graphs |
title_full_unstemmed |
Hybrid Methods for a Countable Family of G-Nonexpansive Mappings in Hilbert Spaces Endowed with Graphs |
title_sort |
hybrid methods for a countable family of g-nonexpansive mappings in hilbert spaces endowed with graphs |
publisher |
MDPI AG |
series |
Mathematics |
issn |
2227-7390 |
publishDate |
2019-10-01 |
description |
In this paper, we introduce the iterative scheme for finding a common fixed point of a countable family of G-nonexpansive mappings by the shrinking projection method which generalizes Takahashi Takeuchi and Kubota’s theorem in a Hilbert space with a directed graph. Simultaneously, we give examples and numerical results for supporting our main theorems and compare the rate of convergence of some examples under the same conditions. |
topic |
g-nonexpansive mapping hybrid method <i>nst</i>-condition iteration hilbert space |
url |
https://www.mdpi.com/2227-7390/7/10/936 |
work_keys_str_mv |
AT suthepsuantai hybridmethodsforacountablefamilyofgnonexpansivemappingsinhilbertspacesendowedwithgraphs AT manadonganont hybridmethodsforacountablefamilyofgnonexpansivemappingsinhilbertspacesendowedwithgraphs AT watcharaporncholamjiak hybridmethodsforacountablefamilyofgnonexpansivemappingsinhilbertspacesendowedwithgraphs |
_version_ |
1725294060331073536 |