Weak and strong convergence of an implicit iteration process for an asymptotically quasi-I-nonexpansive mapping in banach space
We prove the weak and strong convergence of the implicit iterative process to a common fixed point of an asymptotically quasi-I-nonexpansive mapping T and an asymptotically quasinonexpansive mapping I, defined on a nonempty closed convex subset of a Banach space.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Publishing Corporation
2010
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/1571/ http://irep.iium.edu.my/1571/ http://irep.iium.edu.my/1571/ http://irep.iium.edu.my/1571/1/mfsm-fixed-point-th%282010%29.pdf |
| Summary: | We prove the weak and strong convergence of the implicit iterative process to a common fixed point of an asymptotically quasi-I-nonexpansive mapping T and an asymptotically quasinonexpansive mapping I, defined on a nonempty closed convex subset of a Banach space. |
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