Strong convergence to solutions of generalized mixed equilibrium problems with applications
We introduce a Halpern-type iteration for a generalized mixed equilibrium problem in uniformly smooth and uniformly convex Banach spaces. Strong convergence theorems are also established in this paper. As applications, we apply our main result to mixed equilibrium, generalized equilibrium, and mixed...
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th-cmuir.6653943832-68462014-08-30T03:51:18Z Strong convergence to solutions of generalized mixed equilibrium problems with applications Cholamjiak P. Suantai S. Cho Y.J. We introduce a Halpern-type iteration for a generalized mixed equilibrium problem in uniformly smooth and uniformly convex Banach spaces. Strong convergence theorems are also established in this paper. As applications, we apply our main result to mixed equilibrium, generalized equilibrium, and mixed variational inequality problems in Banach spaces. Finally, examples and numerical results are also given. © 2012 Prasit Cholamjiak et al. 2014-08-30T03:51:18Z 2014-08-30T03:51:18Z 2012 Article 1110757X 10.1155/2012/308791 http://www.scopus.com/inward/record.url?eid=2-s2.0-84856475000&partnerID=40&md5=eb49280e42da4a93f3f11bb6fef5daf3 http://cmuir.cmu.ac.th/handle/6653943832/6846 English |
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We introduce a Halpern-type iteration for a generalized mixed equilibrium problem in uniformly smooth and uniformly convex Banach spaces. Strong convergence theorems are also established in this paper. As applications, we apply our main result to mixed equilibrium, generalized equilibrium, and mixed variational inequality problems in Banach spaces. Finally, examples and numerical results are also given. © 2012 Prasit Cholamjiak et al. |
| format |
Article |
| author |
Cholamjiak P. Suantai S. Cho Y.J. |
| spellingShingle |
Cholamjiak P. Suantai S. Cho Y.J. Strong convergence to solutions of generalized mixed equilibrium problems with applications |
| author_facet |
Cholamjiak P. Suantai S. Cho Y.J. |
| author_sort |
Cholamjiak P. |
| title |
Strong convergence to solutions of generalized mixed equilibrium problems with applications |
| title_short |
Strong convergence to solutions of generalized mixed equilibrium problems with applications |
| title_full |
Strong convergence to solutions of generalized mixed equilibrium problems with applications |
| title_fullStr |
Strong convergence to solutions of generalized mixed equilibrium problems with applications |
| title_full_unstemmed |
Strong convergence to solutions of generalized mixed equilibrium problems with applications |
| title_sort |
strong convergence to solutions of generalized mixed equilibrium problems with applications |
| publishDate |
2014 |
| url |
http://www.scopus.com/inward/record.url?eid=2-s2.0-84856475000&partnerID=40&md5=eb49280e42da4a93f3f11bb6fef5daf3 http://cmuir.cmu.ac.th/handle/6653943832/6846 |
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