Hybrid methods for a mixed equilibrium problem and fixed points of a countable family of multivalued nonexpansive mappings
In this paper, we prove a strong convergence theorem for a new hybrid method, using shrinking projection method introduced by Takahashi and a fixed point method for finding a common element of the set of solutions of mixed equilibrium problem and the set of common fixed points of a countable family...
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| Main Authors: | , |
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| Format: | Article |
| Published: |
Springer Publishing Company
2015
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| Subjects: | |
| Online Access: | http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84902584523&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38740 |
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| Institution: | Chiang Mai University |
| Summary: | In this paper, we prove a strong convergence theorem for a new hybrid method, using shrinking projection method introduced by Takahashi and a fixed point method for finding a common element of the set of solutions of mixed equilibrium problem and the set of common fixed points of a countable family of multivalued nonexpansive mappings in Hilbert spaces. We also apply our main result to the convex minimization problem and the fixed point problem of a countable family of multivalued nonexpansive mappings. © 2013 Bunyawat and Suantai; licensee Springer. |
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