| dc.creator |
HUANG Jin-ping |
|
| dc.creator |
PENG Feng-ping |
|
| dc.creator |
DAI Min |
|
| dc.date |
2011 |
|
| dc.date.accessioned |
2013-05-30T11:58:12Z |
|
| dc.date.available |
2013-05-30T11:58:12Z |
|
| dc.date.issued |
2013-05-30 |
|
| dc.identifier |
http://journal.cqnu.edu.cn/1104/pdf/0403.pdf |
|
| dc.identifier |
http://www.doaj.org/doaj?func=openurl&genre=article&issn=16726693&date=2011&volume=28&issue=4&spage=11 |
|
| dc.identifier.uri |
http://koha.mediu.edu.my:8181/jspui/handle/123456789/4923 |
|
| dc.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) |
|
| dc.publisher |
Chongqing Normal University |
|
| dc.source |
Journal of Chongqing Normal University |
|
| dc.subject |
real Banach space |
|
| dc.subject |
uniformly L-Lipschitzan nonself-mappings |
|
| dc.subject |
asymptotically quasi pseudo-contractive type nonself-mappings |
|
| dc.subject |
iterative sequence |
|
| dc.subject |
fixed points |
|
| dc.title |
Convergence Theorem for Asymptotically Quasi Pseudo-Contractive Type Nonself-mappings |
|