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http://dspace.mediu.edu.my:8181/xmlui/handle/123456789/4923| Title: | Convergence Theorem for Asymptotically Quasi Pseudo-Contractive Type Nonself-mappings |
| Keywords: | real Banach space uniformly L-Lipschitzan nonself-mappings asymptotically quasi pseudo-contractive type nonself-mappings iterative sequence fixed points |
| Issue Date: | 30-May-2013 |
| Publisher: | Chongqing Normal University |
| Description: | Chidume first introduced the definition of asymptotically nonexpansive nonself-mappings and uniformly L-Lipschitzan nonself mappings. Furthermore he proved that the iterative sequence converged strongly to fixed points of asymototically nonexpansive nonselfmappings . In this paper, the definition of asymptotically pseudo-contractive type nonself-mappings, asymptotically quasi pseudo-contractive type nonself-mappings is introduced. Suppose E is a real Banach space, let K be a retract of E, P be a nonexpansive retraction from E to K ,T is L-Lipschitzan asymptotically quasi pseudo-contractive type nonself-mappings , under some restricted conditions on the parameters. An necessary and sufficient condition is given for the modified Ishikawa iterative sequence with error to converge strongly to a fixed point of T, Suppose there exist a strictly increasing function*, such that lim sup inf *. The objective of this article is to extend the asymptotically quasi pseudo-contractive type mappings to asymptotically quasi pseudo-contractive type nonself-mappings. Therefore, the results presented in this paper extended the previous work.(* Indicates a formula, please see the full text) |
| URI: | http://koha.mediu.edu.my:8181/jspui/handle/123456789/4923 |
| Other Identifiers: | http://journal.cqnu.edu.cn/1104/pdf/0403.pdf http://www.doaj.org/doaj?func=openurl&genre=article&issn=16726693&date=2011&volume=28&issue=4&spage=11 |
| Appears in Collections: | Science General |
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