Split common fixed point and null point problems for demicontractive operators in Hilbert spaces
© 2017 Informa UK Limited, trading as Taylor & Francis Group In this article, we consider a split common fixed point and null point problem which includes the split common fixed point problem, the split common null problem and other problems related to the fixed point problem and the null poin...
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th-cmuir.6653943832-401692017-09-28T04:08:05Z Split common fixed point and null point problems for demicontractive operators in Hilbert spaces Jailoka P. Suantai S. © 2017 Informa UK Limited, trading as Taylor & Francis Group In this article, we consider a split common fixed point and null point problem which includes the split common fixed point problem, the split common null problem and other problems related to the fixed point problem and the null point problem. We introduce an algorithm for studying the split common fixed point and null problem for demicontractive operators and maximal monotone operators in real Hilbert spaces. We establish a strong convergence result under some suitable conditions and reduce our main result to above-mentioned problems. Moreover, we also apply our main results to the split equilibrium problem. Finally, we give numerical results to demonstrate the convergence of our algorithms. 2017-09-28T04:08:05Z 2017-09-28T04:08:05Z Journal 10556788 2-s2.0-85027842427 10.1080/10556788.2017.1359265 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85027842427&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/40169 |
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© 2017 Informa UK Limited, trading as Taylor & Francis Group In this article, we consider a split common fixed point and null point problem which includes the split common fixed point problem, the split common null problem and other problems related to the fixed point problem and the null point problem. We introduce an algorithm for studying the split common fixed point and null problem for demicontractive operators and maximal monotone operators in real Hilbert spaces. We establish a strong convergence result under some suitable conditions and reduce our main result to above-mentioned problems. Moreover, we also apply our main results to the split equilibrium problem. Finally, we give numerical results to demonstrate the convergence of our algorithms. |
| format |
Journal |
| author |
Jailoka P. Suantai S. |
| spellingShingle |
Jailoka P. Suantai S. Split common fixed point and null point problems for demicontractive operators in Hilbert spaces |
| author_facet |
Jailoka P. Suantai S. |
| author_sort |
Jailoka P. |
| title |
Split common fixed point and null point problems for demicontractive operators in Hilbert spaces |
| title_short |
Split common fixed point and null point problems for demicontractive operators in Hilbert spaces |
| title_full |
Split common fixed point and null point problems for demicontractive operators in Hilbert spaces |
| title_fullStr |
Split common fixed point and null point problems for demicontractive operators in Hilbert spaces |
| title_full_unstemmed |
Split common fixed point and null point problems for demicontractive operators in Hilbert spaces |
| title_sort |
split common fixed point and null point problems for demicontractive operators in hilbert spaces |
| publishDate |
2017 |
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https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85027842427&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/40169 |
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