Weak and Strong Convergence of an Implicit Iteration Process for an Asymptotically Quasi-<inline-formula> <graphic file="1687-1812-2010-719631-i1.gif"/></inline-formula>-Nonexpansive Mapping in Banach Space
<p/> <p>We prove the weak and strong convergence of the implicit iterative process to a common fixed point of an asymptotically quasi-<inline-formula> <graphic file="1687-1812-2010-719631-i2.gif"/></inline-formula>-nonexpansive mapping <inline-formula> &...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2010-01-01
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| Series: | Fixed Point Theory and Applications |
| Online Access: | http://www.fixedpointtheoryandapplications.com/content/2010/719631 |
| Summary: | <p/> <p>We prove the weak and strong convergence of the implicit iterative process to a common fixed point of an asymptotically quasi-<inline-formula> <graphic file="1687-1812-2010-719631-i2.gif"/></inline-formula>-nonexpansive mapping <inline-formula> <graphic file="1687-1812-2010-719631-i3.gif"/></inline-formula> and an asymptotically quasi-nonexpansive mapping <inline-formula> <graphic file="1687-1812-2010-719631-i4.gif"/></inline-formula>, defined on a nonempty closed convex subset of a Banach space.</p> |
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| ISSN: | 1687-1820 1687-1812 |