A modified S-iteration process for G-nonexpansive mappings in Banach spaces with graphs
© 2017 Springer Science+Business Media New York In this work, we prove the weak and strong convergence of a sequence generated by a modified S-iteration process for finding a common fixed point of two G-nonexpansive mappings in a uniformly convex Banach space with a directed graph. We also give some...
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th-cmuir.6653943832-405592017-09-28T04:10:14Z A modified S-iteration process for G-nonexpansive mappings in Banach spaces with graphs Suparatulatorn R. Cholamjiak W. Suantai S. © 2017 Springer Science+Business Media New York In this work, we prove the weak and strong convergence of a sequence generated by a modified S-iteration process for finding a common fixed point of two G-nonexpansive mappings in a uniformly convex Banach space with a directed graph. We also give some numerical examples for supporting our main theorem and compare convergence rate between the studied iteration and the Ishikawa iteration. 2017-09-28T04:10:14Z 2017-09-28T04:10:14Z Journal 10171398 2-s2.0-85017126782 10.1007/s11075-017-0324-y https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85017126782&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/40559 |
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© 2017 Springer Science+Business Media New York In this work, we prove the weak and strong convergence of a sequence generated by a modified S-iteration process for finding a common fixed point of two G-nonexpansive mappings in a uniformly convex Banach space with a directed graph. We also give some numerical examples for supporting our main theorem and compare convergence rate between the studied iteration and the Ishikawa iteration. |
| format |
Journal |
| author |
Suparatulatorn R. Cholamjiak W. Suantai S. |
| spellingShingle |
Suparatulatorn R. Cholamjiak W. Suantai S. A modified S-iteration process for G-nonexpansive mappings in Banach spaces with graphs |
| author_facet |
Suparatulatorn R. Cholamjiak W. Suantai S. |
| author_sort |
Suparatulatorn R. |
| title |
A modified S-iteration process for G-nonexpansive mappings in Banach spaces with graphs |
| title_short |
A modified S-iteration process for G-nonexpansive mappings in Banach spaces with graphs |
| title_full |
A modified S-iteration process for G-nonexpansive mappings in Banach spaces with graphs |
| title_fullStr |
A modified S-iteration process for G-nonexpansive mappings in Banach spaces with graphs |
| title_full_unstemmed |
A modified S-iteration process for G-nonexpansive mappings in Banach spaces with graphs |
| title_sort |
modified s-iteration process for g-nonexpansive mappings in banach spaces with graphs |
| publishDate |
2017 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85017126782&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/40559 |
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