Demiclosedness Principle for Total Asymptotically Nonexpansive Mappings in CAT(0) Spaces
We prove the demiclosedness principle for a class of mappings which is a generalization of all the forms of nonexpansive, asymptotically nonexpansive, and nearly asymptotically nonexpansive mappings. Moreover, we establish the existence theorem and convergence theorems for modified Ishikawa iterati...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/738150 |
| Summary: | We prove the
demiclosedness principle for a class of mappings which is a
generalization of all the forms of nonexpansive, asymptotically
nonexpansive, and nearly asymptotically nonexpansive mappings.
Moreover, we establish the existence theorem and convergence
theorems for modified Ishikawa iterative process in the framework of CAT(0) spaces. Our results generalize, extend, and unify the corresponding results on the topic in the literature. |
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| ISSN: | 1110-757X 1687-0042 |