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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
2014
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| Online Access: | http://www.scopus.com/inward/record.url?eid=2-s2.0-71049194726&partnerID=40&md5=8a5c1a5d8cd0a774f44c87ad56f3ef34 http://cmuir.cmu.ac.th/handle/6653943832/5707 |
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| Institution: | Chiang Mai University |
| Language: | English |
| Summary: | 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. |
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