Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/springer-journals/an-implicit-iteration-process-with-errors-for-a-finite-family-of-r-JTGzaECE4z
References (11)
-
C. Chidume (2002)
Convergence theorems for asymptotically pseudocontractive mappingsNonlinear Analysis-theory Methods & Applications, 49
-
Shih-sen Chang (1997)
On Chidume's Open Questions and Approximate Solutions of Multivalued Strongly Accretive Mapping Equations in Banach Spaces☆☆☆Journal of Mathematical Analysis and Applications, 216
-
Zhaohong Sun (2003)
Strong convergence of an implicit iteration process for a finite family of asymptotically quasi-nonexpansive mappingsJournal of Mathematical Analysis and Applications, 286
-
L. Qihou (1996)
Convergence theorems of the sequence of iterates for asymptotically demicontractive and hemicontractive mappingsNonlinear Analysis-theory Methods & Applications, 26
-
Chunlei Tang, Xing-Ping Wu (2001)
Existence and Multiplicity of Solutions of Semilinear Elliptic EquationsJournal of Mathematical Analysis and Applications, 256
-
K. Goebel, W. Kirk (1972)
A FIXED POINT THEOREM FOR ASYMPTOTICALLY NONEXPANSIVE MAPPINGS, 35
-
Hong-Kun Xu (1991)
Inequalities in Banach spaces with applicationsNonlinear Analysis-theory Methods & Applications, 16
-
J. Schu (1991)
Iterative construction of fixed points of asymptotically nonexpansive mappingsJournal of Mathematical Analysis and Applications, 158
-
B. Prus, R. Smarzewski (1987)
Strongly unique best approximations and centers in uniformly convex spacesJournal of Mathematical Analysis and Applications, 121
-
Hong-Kun Xu, R. Ori (2001)
AN IMPLICIT ITERATION PROCESS FOR NONEXPANSIVE MAPPINGSNumerical Functional Analysis and Optimization, 22
-
L. Qihou (2001)
Iterative Sequences for Asymptotically Quasi-nonexpansive MappingsJournal of Mathematical Analysis and Applications, 259
- Publisher
- Springer Journals
- Copyright
- Copyright © 2007 by Springer-Verlag Berlin Heidelberg
- Subject
- Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
- ISSN
- 0168-9673
- eISSN
- 1618-3932
- DOI
- 10.1007/s10255-007-0370-7
- Publisher site
- See Article on Publisher Site
Abstract
In this paper, we will establish several strong convergence theorems for the approximation of common fixed points of r−strictly asymptotically pseudocontractive mappings in uniformly convex Banach spaces using the modiied implicit iteration sequence with errors, and prove the necessary and sufficient conditions for the convergence of the sequence. Our results generalize, extend and improve the recent work, in this topic[9,10].
Journal
Acta Mathematicae Applicatae Sinica – Springer Journals
Published: Jan 1, 2007