A new hybrid algorithm for a countable family of quasi-nonexpansive mappings and equilibrium problems
In this paper, we introduce and study a new hybrid algorithm for finding common elements of the set of common fixed points of a countable family of quasi-nonexpansive mappings, the set of solutions of variational inequality and the set of solutions of generalized equilibrium problem. We prove a stro...
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| Main Authors: | , |
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| Format: | Article |
| Published: |
Yokohama Publishers
2015
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| Subjects: | |
| Online Access: | http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84864956236&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38635 |
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| Institution: | Chiang Mai University |
| Summary: | In this paper, we introduce and study a new hybrid algorithm for finding common elements of the set of common fixed points of a countable family of quasi-nonexpansive mappings, the set of solutions of variational inequality and the set of solutions of generalized equilibrium problem. We prove a strong convergence theorem of the purposed algorithm under some control conditions and the NST-condition. We also show that the sequences of W-mappings and K-mappings of families of quasi-nonexpansive mappings satisfy the NST-condition. |
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