Sign in
Author

Conference

Journal

Organization

Year

DOI
Look for results that meet for the following criteria:
since
equal to
before
between
and
Search in all fields of study
Limit my searches in the following fields of study
Agriculture Science
Arts & Humanities
Biology
Chemistry
Computer Science
Economics & Business
Engineering
Environmental Sciences
Geosciences
Material Science
Mathematics
Medicine
Physics
Social Science
Multidisciplinary
Keywords
(8)
asymptotically nonexpansive mapping
banach space
Common Fixed Point
Fixed Point
Iteration Method
nonexpansive mapping
Strong Convergence
uniformly convex banach space
Subscribe
Academic
Publications
Weak and strong convergence theorems for a finite family of generalized asymptotically quasinonexpansive mappings
Weak and strong convergence theorems for a finite family of generalized asymptotically quasinonexpansive mappings,10.1016/j.camwa.2010.07.025,Compute
Edit
Weak and strong convergence theorems for a finite family of generalized asymptotically quasinonexpansive mappings
BibTex

RIS

RefWorks
Download
Watcharaporn Cholamjiak
,
Suthep Suantai
In this paper, we introduce a new iterative scheme for finding a
common fixed point
of a finite family of generalized asymptotically quasinonexpansive mappings in a uniformly convex Banach space. We establish weak and
strong convergence
theorems. Our main results improve and extend the corresponding ones obtained in Schu (1991) [J. Schu, Iterative construction of fixed points of asymptotically nonexpansive mapping, J. Math. Anal. Appl. 159 (1991) 407–413] and many others.
Journal:
Computers & Mathematics With Applications  COMPUT MATH APPL
, vol. 60, no. 7, pp. 19171923, 2010
DOI:
10.1016/j.camwa.2010.07.025
Cumulative
Annual
View Publication
The following links allow you to view full publications. These links are maintained by other sources not affiliated with Microsoft Academic Search.
(
www.sciencedirect.com
)
(
www.informatik.unitrier.de
)
(
dx.doi.org
)
(
linkinghub.elsevier.com
)
More »
References
(11)
Strong convergence of an implicit iteration process for a finite family of generalized asymptotically quasinonexpansive maps
(
Citations: 14
)
Naseer Shahzad
,
Habtu Zegeye
Journal:
Applied Mathematics and Computation  AMC
, vol. 189, no. 2, pp. 10581065, 2007
Weak convergence of the sequence of successive approximations for nonexpansive mappings
(
Citations: 416
)
Zdzisław Opial
Journal:
Bulletin of The American Mathematical Society  BULL AMER MATH SOC
, vol. 73, no. 1967, pp. 591597, 1967
Convergence of iterates with errors of asymptotically quasinonexpansive mappings and applications
(
Citations: 23
)
Hafiz FukharUdDin
,
Safeer Hussain Khan
Journal:
Journal of Mathematical Analysis and Applications  J MATH ANAL APPL
, vol. 328, no. 2, pp. 821829, 2007
Convergence of a general iterative scheme for a finite family of asymptotically quasinonexpansive mappings in convex metric spaces and applications
(
Citations: 3
)
Abdul Rahim Khan
,
M. A. Ahmed
Journal:
Computers & Mathematics With Applications  COMPUT MATH APPL
, vol. 59, no. 8, pp. 29902995, 2010
Approximating common fixed points of asymptotically quasinonexpansive mappings by a k+1step iterative scheme with error terms
(
Citations: 1
)
JianZhong Xiao
,
Jing Sun
,
Xuan Huang
Journal:
Journal of Computational and Applied Mathematics  J COMPUT APPL MATH
, vol. 233, no. 8, pp. 20622070, 2010