Approximations for Equilibrium Problems and Nonexpansive Semigroups
We introduce a new iterative method for finding a common element of the set of solutions of an equilibrium problem and the set of all common fixed points of a nonexpansive semigroup and prove the strong convergence theorem in Hilbert spaces. Our result extends the recent result of Zegeye and Shahzad...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/351372 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832564413189586944 |
|---|---|
| author | Huan-chun Wu Cao-zong Cheng |
| author_facet | Huan-chun Wu Cao-zong Cheng |
| author_sort | Huan-chun Wu |
| collection | DOAJ |
| description | We introduce a new iterative method for finding a common element of the set of solutions of an equilibrium problem and the set of all common fixed points of a nonexpansive semigroup and prove the strong convergence theorem in Hilbert spaces. Our result extends the recent result of Zegeye and Shahzad (2013). In the last part of the paper, by the way, we point out that there is a slight flaw in the proof of the main result in Shehu's paper (2012) and perfect the proof. |
| format | Article |
| id | doaj-art-897cb3f6b0694c80947136da1d873fbd |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-897cb3f6b0694c80947136da1d873fbd2025-02-03T01:11:08ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/351372351372Approximations for Equilibrium Problems and Nonexpansive SemigroupsHuan-chun Wu0Cao-zong Cheng1Department of Mathematics, Beijing University of Technology, Beijing 100124, ChinaDepartment of Mathematics, Beijing University of Technology, Beijing 100124, ChinaWe introduce a new iterative method for finding a common element of the set of solutions of an equilibrium problem and the set of all common fixed points of a nonexpansive semigroup and prove the strong convergence theorem in Hilbert spaces. Our result extends the recent result of Zegeye and Shahzad (2013). In the last part of the paper, by the way, we point out that there is a slight flaw in the proof of the main result in Shehu's paper (2012) and perfect the proof.http://dx.doi.org/10.1155/2014/351372 |
| spellingShingle | Huan-chun Wu Cao-zong Cheng Approximations for Equilibrium Problems and Nonexpansive Semigroups Abstract and Applied Analysis |
| title | Approximations for Equilibrium Problems and Nonexpansive Semigroups |
| title_full | Approximations for Equilibrium Problems and Nonexpansive Semigroups |
| title_fullStr | Approximations for Equilibrium Problems and Nonexpansive Semigroups |
| title_full_unstemmed | Approximations for Equilibrium Problems and Nonexpansive Semigroups |
| title_short | Approximations for Equilibrium Problems and Nonexpansive Semigroups |
| title_sort | approximations for equilibrium problems and nonexpansive semigroups |
| url | http://dx.doi.org/10.1155/2014/351372 |
| work_keys_str_mv | AT huanchunwu approximationsforequilibriumproblemsandnonexpansivesemigroups AT caozongcheng approximationsforequilibriumproblemsandnonexpansivesemigroups |