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...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/308791 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832560778594484224 |
|---|---|
| author | Prasit Cholamjiak Suthep Suantai Yeol Je Cho |
| author_facet | Prasit Cholamjiak Suthep Suantai Yeol Je Cho |
| author_sort | Prasit Cholamjiak |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-f9ff1914ac2443f5a6c9982f0e119b68 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-f9ff1914ac2443f5a6c9982f0e119b682025-02-03T01:26:45ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/308791308791Strong Convergence to Solutions of Generalized Mixed Equilibrium Problems with ApplicationsPrasit Cholamjiak0Suthep Suantai1Yeol Je Cho2School of Science, University of Phayao, Phayao 56000, ThailandCentre of Excellence in Mathematics, CHE, Si Ayutthaya Road, Bangkok 10400, ThailandDepartment of Mathematics Education and the RINS, Gyeongsang National University, Jinju 660-701, Republic of KoreaWe 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.http://dx.doi.org/10.1155/2012/308791 |
| spellingShingle | Prasit Cholamjiak Suthep Suantai Yeol Je Cho Strong Convergence to Solutions of Generalized Mixed Equilibrium Problems with Applications Journal of Applied Mathematics |
| title | 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_short | Strong Convergence to Solutions of Generalized Mixed Equilibrium Problems with Applications |
| title_sort | strong convergence to solutions of generalized mixed equilibrium problems with applications |
| url | http://dx.doi.org/10.1155/2012/308791 |
| work_keys_str_mv | AT prasitcholamjiak strongconvergencetosolutionsofgeneralizedmixedequilibriumproblemswithapplications AT suthepsuantai strongconvergencetosolutionsofgeneralizedmixedequilibriumproblemswithapplications AT yeoljecho strongconvergencetosolutionsofgeneralizedmixedequilibriumproblemswithapplications |