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Strong Convergence Theorems of Modified Ishikawa Iterations for Countable Hemi-Relatively Nonexpansive Mappings in a Banach Space
| Content Provider | Semantic Scholar |
|---|---|
| Author | Petrot, Narin Wattanawitoon, Kriengsak Kumam, Poom |
| Copyright Year | 2009 |
| Abstract | We prove some strong convergence theorems for fixed points of modified Ishikawa and Halpern iterative processes for a countable family of hemi-relatively nonexpansive mappings in a uniformly convex and uniformly smooth Banach space by using the hybrid projection methods. Moreover, we also apply our results to a class of relatively nonexpansive mappings, and hence, we immediately obtain the results announced by Qin and Su's result (2007), Nilsrakoo and Saejung's result (2008), Su et al.'s result (2008), and some known corresponding results in the literatures. |
| Starting Page | 1 |
| Ending Page | 25 |
| Page Count | 25 |
| File Format | PDF HTM / HTML |
| DOI | 10.1155/2009/483497 |
| Volume Number | 2009 |
| Alternate Webpage(s) | http://www.maths.tcd.ie/EMIS/journals/HOA/FPTA/Volume2009/483497.pdf |
| Alternate Webpage(s) | https://fixedpointtheoryandapplications.springeropen.com/track/pdf/10.1155/2009/483497 |
| Alternate Webpage(s) | http://www.fixedpointtheoryandapplications.com/content/pdf/1687-1812-2009-483497.pdf |
| Alternate Webpage(s) | https://doi.org/10.1155/2009%2F483497 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
