Approximation methods for common fixed points for a countable family of nonexpansive mappings

2009 ◽  
Vol 71 (12) ◽  
pp. e164-e175 ◽  
Author(s):  
C.E. Chidume ◽  
C.O. Chidume ◽  
A.P. Nwogbaga
Keyword(s):  
Fixed Points ◽  
Nonexpansive Mappings ◽  
Common Fixed Points ◽  
Countable Family ◽  
Approximation Methods

scholarly journals Convergence of a General Composite Iterative Method for a Countable Family of Nonexpansive Mappings

2012 ◽  
Vol 2012 ◽  
pp. 1-10
Author(s):  
Shuang Wang
Keyword(s):  
Iterative Method ◽  
Fixed Points ◽  
Hilbert Spaces ◽  
Nonexpansive Mappings ◽  
Common Fixed Points ◽  
Countable Family

We propose a general composite iterative method for computing common fixed points of a countable family of nonexpansive mappings in the framework of Hilbert spaces. Our results improve and complement the corresponding ones announced by many others.

Some convergence theorems for total asymptotically nonexpansive mappings in Banach spaces

2013 ◽  
Vol 63 (5) ◽  
Author(s):  
Shih-sen Chang ◽  
H. Joseph Lee ◽  
Chi Chan
Keyword(s):  
Fixed Points ◽  
Banach Spaces ◽  
Nonexpansive Mappings ◽  
Common Fixed Points ◽  
Countable Family ◽  
Convergence Theorems ◽  
Approximation Theorems ◽  
Asymptotically Nonexpansive Mappings ◽  
Asymptotically Nonexpansive ◽  
Total Asymptotically Nonexpansive Mappings

AbstractThe purpose of this paper is to establish some new approximation theorems of common fixed points for a countable family of total asymptotically quasi-nonexpansive mappings in Banach spaces which generalize and improve the corresponding theorems of Chidume et al. [J. Math. Anal. Appl. 333 (2007), 128–141], [J. Math. Anal. Appl. 326 (2007), 960–973], [Internat. J. Math. Math. Sci. 2009, Article ID 615107, 17 pp.] and others.

Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space

2007 ◽  
Vol 67 (8) ◽  
pp. 2350-2360 ◽  
Author(s):  
Koji Aoyama ◽  
Yasunori Kimura ◽  
Wataru Takahashi ◽  
Masashi Toyoda
Keyword(s):  
Banach Space ◽  
Fixed Points ◽  
Nonexpansive Mappings ◽  
Common Fixed Points ◽  
Countable Family
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