Hybrid method for the equilibrium problem and a family of generalized nonexpansive mappings in banach spaces
© 2016. All rights reserved. We introduce a hybrid method for finding a common element of the set of solutions of an equilibrium problem defined on the dual space of a Banach space and the set of common fixed points of a family of generalized nonexpansive mappings and prove strong convergence theore...
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th-cmuir.6653943832-424172017-09-28T04:26:59Z Hybrid method for the equilibrium problem and a family of generalized nonexpansive mappings in banach spaces Klin-Eam C. Kaskasem P. Suantai S. © 2016. All rights reserved. We introduce a hybrid method for finding a common element of the set of solutions of an equilibrium problem defined on the dual space of a Banach space and the set of common fixed points of a family of generalized nonexpansive mappings and prove strong convergence theorems by using the new hybrid method. Using our main results, we obtain some new strong convergence theorems for finding a solution of an equilibrium problem and a fixed point of a family of generalized nonexpansive mappings in a Banach space. 2017-09-28T04:26:59Z 2017-09-28T04:26:59Z 2016-01-01 Journal 20081898 2-s2.0-84993953310 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84993953310&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/42417 |
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© 2016. All rights reserved. We introduce a hybrid method for finding a common element of the set of solutions of an equilibrium problem defined on the dual space of a Banach space and the set of common fixed points of a family of generalized nonexpansive mappings and prove strong convergence theorems by using the new hybrid method. Using our main results, we obtain some new strong convergence theorems for finding a solution of an equilibrium problem and a fixed point of a family of generalized nonexpansive mappings in a Banach space. |
| format |
Journal |
| author |
Klin-Eam C. Kaskasem P. Suantai S. |
| spellingShingle |
Klin-Eam C. Kaskasem P. Suantai S. Hybrid method for the equilibrium problem and a family of generalized nonexpansive mappings in banach spaces |
| author_facet |
Klin-Eam C. Kaskasem P. Suantai S. |
| author_sort |
Klin-Eam C. |
| title |
Hybrid method for the equilibrium problem and a family of generalized nonexpansive mappings in banach spaces |
| title_short |
Hybrid method for the equilibrium problem and a family of generalized nonexpansive mappings in banach spaces |
| title_full |
Hybrid method for the equilibrium problem and a family of generalized nonexpansive mappings in banach spaces |
| title_fullStr |
Hybrid method for the equilibrium problem and a family of generalized nonexpansive mappings in banach spaces |
| title_full_unstemmed |
Hybrid method for the equilibrium problem and a family of generalized nonexpansive mappings in banach spaces |
| title_sort |
hybrid method for the equilibrium problem and a family of generalized nonexpansive mappings in banach spaces |
| publishDate |
2017 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84993953310&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/42417 |
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