Strong Convergence of a Unified General Iteration for k-Strictly Pseudononspreading Mapping in Hilbert Spaces
We introduce a unified general iterative method to approximate a fixed point of k-strictly pseudononspreading mapping. Under some suitable conditions, we prove that the iterative sequence generated by the proposed method converges strongly to a fixed point of a k-strictly pseudononspreading mapping...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/219695 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849434726528450560 |
|---|---|
| author | Dao-Jun Wen Yi-An Chen Yan Tang |
| author_facet | Dao-Jun Wen Yi-An Chen Yan Tang |
| author_sort | Dao-Jun Wen |
| collection | DOAJ |
| description | We introduce a unified general iterative method to approximate a fixed point of k-strictly pseudononspreading mapping. Under some suitable conditions, we prove that the iterative sequence generated by the proposed method converges strongly to a fixed point of a k-strictly pseudononspreading mapping with an idea of mean convergence, which also solves a class of variational inequalities as an optimality condition for a minimization problem. The results presented in this paper may be viewed as a refinement and as important generalizations of the previously known results announced by many other authors. |
| format | Article |
| id | doaj-art-e40099b186d446ada61f9d8974db9021 |
| 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-e40099b186d446ada61f9d8974db90212025-08-20T03:26:33ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/219695219695Strong Convergence of a Unified General Iteration for k-Strictly Pseudononspreading Mapping in Hilbert SpacesDao-Jun Wen0Yi-An Chen1Yan Tang2College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, ChinaCollege of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, ChinaCollege of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, ChinaWe introduce a unified general iterative method to approximate a fixed point of k-strictly pseudononspreading mapping. Under some suitable conditions, we prove that the iterative sequence generated by the proposed method converges strongly to a fixed point of a k-strictly pseudononspreading mapping with an idea of mean convergence, which also solves a class of variational inequalities as an optimality condition for a minimization problem. The results presented in this paper may be viewed as a refinement and as important generalizations of the previously known results announced by many other authors.http://dx.doi.org/10.1155/2014/219695 |
| spellingShingle | Dao-Jun Wen Yi-An Chen Yan Tang Strong Convergence of a Unified General Iteration for k-Strictly Pseudononspreading Mapping in Hilbert Spaces Abstract and Applied Analysis |
| title | Strong Convergence of a Unified General Iteration for k-Strictly Pseudononspreading Mapping in Hilbert Spaces |
| title_full | Strong Convergence of a Unified General Iteration for k-Strictly Pseudononspreading Mapping in Hilbert Spaces |
| title_fullStr | Strong Convergence of a Unified General Iteration for k-Strictly Pseudononspreading Mapping in Hilbert Spaces |
| title_full_unstemmed | Strong Convergence of a Unified General Iteration for k-Strictly Pseudononspreading Mapping in Hilbert Spaces |
| title_short | Strong Convergence of a Unified General Iteration for k-Strictly Pseudononspreading Mapping in Hilbert Spaces |
| title_sort | strong convergence of a unified general iteration for k strictly pseudononspreading mapping in hilbert spaces |
| url | http://dx.doi.org/10.1155/2014/219695 |
| work_keys_str_mv | AT daojunwen strongconvergenceofaunifiedgeneraliterationforkstrictlypseudononspreadingmappinginhilbertspaces AT yianchen strongconvergenceofaunifiedgeneraliterationforkstrictlypseudononspreadingmappinginhilbertspaces AT yantang strongconvergenceofaunifiedgeneraliterationforkstrictlypseudononspreadingmappinginhilbertspaces |