A new technique for convergence theorem of fixed point problem of quasi-nonexpansive mapping
© 2015, Cheawchan et al. For the purpose of this paper, we use the method different from the relaxed extragradient method for finding a common element of the set of fixed points of a quasi-nonexpansive mapping, the set of solutions of equilibrium problems, and the set of solutions of a modified syst...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Journal |
| Published: |
2018
|
| Subjects: | |
| Online Access: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84948417278&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/54638 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | Chiang Mai University |
| id |
th-cmuir.6653943832-54638 |
|---|---|
| record_format |
dspace |
| spelling |
th-cmuir.6653943832-546382018-09-04T10:19:06Z A new technique for convergence theorem of fixed point problem of quasi-nonexpansive mapping Kanyarat Cheawchan Suthep Suantai Atid Kangtunyakarn Mathematics © 2015, Cheawchan et al. For the purpose of this paper, we use the method different from the relaxed extragradient method for finding a common element of the set of fixed points of a quasi-nonexpansive mapping, the set of solutions of equilibrium problems, and the set of solutions of a modified system of variational inequalities without demiclosed condition of W and Wω:=(1−ω)I+ωW, where W is a quasi-nonexpansive mapping and (Formula presented.) in the framework of Hilbert space. By using our main result, we obtain a strong convergence theorem involving a finite family of nonspreading mappings and another corollary. Moreover, we give a numerical example to encourage our main theorem. 2018-09-04T10:19:06Z 2018-09-04T10:19:06Z 2015-12-01 Journal 16871812 16871820 2-s2.0-84948417278 10.1186/s13663-015-0453-8 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84948417278&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/54638 |
| institution |
Chiang Mai University |
| building |
Chiang Mai University Library |
| country |
Thailand |
| collection |
CMU Intellectual Repository |
| topic |
Mathematics |
| spellingShingle |
Mathematics Kanyarat Cheawchan Suthep Suantai Atid Kangtunyakarn A new technique for convergence theorem of fixed point problem of quasi-nonexpansive mapping |
| description |
© 2015, Cheawchan et al. For the purpose of this paper, we use the method different from the relaxed extragradient method for finding a common element of the set of fixed points of a quasi-nonexpansive mapping, the set of solutions of equilibrium problems, and the set of solutions of a modified system of variational inequalities without demiclosed condition of W and Wω:=(1−ω)I+ωW, where W is a quasi-nonexpansive mapping and (Formula presented.) in the framework of Hilbert space. By using our main result, we obtain a strong convergence theorem involving a finite family of nonspreading mappings and another corollary. Moreover, we give a numerical example to encourage our main theorem. |
| format |
Journal |
| author |
Kanyarat Cheawchan Suthep Suantai Atid Kangtunyakarn |
| author_facet |
Kanyarat Cheawchan Suthep Suantai Atid Kangtunyakarn |
| author_sort |
Kanyarat Cheawchan |
| title |
A new technique for convergence theorem of fixed point problem of quasi-nonexpansive mapping |
| title_short |
A new technique for convergence theorem of fixed point problem of quasi-nonexpansive mapping |
| title_full |
A new technique for convergence theorem of fixed point problem of quasi-nonexpansive mapping |
| title_fullStr |
A new technique for convergence theorem of fixed point problem of quasi-nonexpansive mapping |
| title_full_unstemmed |
A new technique for convergence theorem of fixed point problem of quasi-nonexpansive mapping |
| title_sort |
new technique for convergence theorem of fixed point problem of quasi-nonexpansive mapping |
| publishDate |
2018 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84948417278&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/54638 |
| _version_ |
1681424357629362176 |