Common Fixed-Point Problem for a Family Multivalued Mapping in Banach Space
It is our purpose in this paper to prove two convergents of viscosity approximation scheme to a common fixed point of a family of multivalued nonexpansive mappings in Banach spaces. Moreover, it is the unique solution in 𝐹 to a certain variational inequality, where 𝐹∶=∩∞𝑛=0𝐹(𝑇𝑛) stands for the commo...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2011-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2011/459085 |
| Summary: | It is our purpose in this paper to prove two convergents of viscosity approximation scheme to a common fixed point of a family of multivalued nonexpansive mappings in Banach spaces. Moreover, it is the unique solution in 𝐹 to a certain variational inequality, where 𝐹∶=∩∞𝑛=0𝐹(𝑇𝑛) stands for the common fixed-point set of the family of multivalued nonexpansive mapping {𝑇𝑛}. |
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| ISSN: | 0161-1712 1687-0425 |