A new approximation method for solving variational inequalities and fixed points of nonexpansive mappings
A new approximation method for solving variational inequalities and fixed points of nonexpansive mappings is introduced and studied. We prove strong convergence theorem of the new iterative scheme to a common element of the set of fixed points of nonexpansive mapping and the set of solutions of the...
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th-cmuir.6653943832-492222018-08-16T02:12:45Z A new approximation method for solving variational inequalities and fixed points of nonexpansive mappings Suthep Suantai Chakkrid Klin-Eam Mathematics A new approximation method for solving variational inequalities and fixed points of nonexpansive mappings is introduced and studied. We prove strong convergence theorem of the new iterative scheme to a common element of the set of fixed points of nonexpansive mapping and the set of solutions of the variational inequality for the inverse-strongly monotone mapping which solves some variational inequalities. Moreover, we apply our main result to obtain strong convergence to a common fixed point of nonexpansive mapping and strictly pseudocontractive mapping in a Hilbert space. © 2009 C. Klin-eam and S. Suantai. 2018-08-16T02:12:45Z 2018-08-16T02:12:45Z 2009-12-08 Journal 1029242X 10255834 2-s2.0-71049194726 10.1155/2009/520301 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=71049194726&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/49222 |
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Chiang Mai University Library |
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Thailand |
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CMU Intellectual Repository |
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Mathematics |
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Mathematics Suthep Suantai Chakkrid Klin-Eam A new approximation method for solving variational inequalities and fixed points of nonexpansive mappings |
| description |
A new approximation method for solving variational inequalities and fixed points of nonexpansive mappings is introduced and studied. We prove strong convergence theorem of the new iterative scheme to a common element of the set of fixed points of nonexpansive mapping and the set of solutions of the variational inequality for the inverse-strongly monotone mapping which solves some variational inequalities. Moreover, we apply our main result to obtain strong convergence to a common fixed point of nonexpansive mapping and strictly pseudocontractive mapping in a Hilbert space. © 2009 C. Klin-eam and S. Suantai. |
| format |
Journal |
| author |
Suthep Suantai Chakkrid Klin-Eam |
| author_facet |
Suthep Suantai Chakkrid Klin-Eam |
| author_sort |
Suthep Suantai |
| title |
A new approximation method for solving variational inequalities and fixed points of nonexpansive mappings |
| title_short |
A new approximation method for solving variational inequalities and fixed points of nonexpansive mappings |
| title_full |
A new approximation method for solving variational inequalities and fixed points of nonexpansive mappings |
| title_fullStr |
A new approximation method for solving variational inequalities and fixed points of nonexpansive mappings |
| title_full_unstemmed |
A new approximation method for solving variational inequalities and fixed points of nonexpansive mappings |
| title_sort |
new approximation method for solving variational inequalities and fixed points of nonexpansive mappings |
| publishDate |
2018 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=71049194726&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/49222 |
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