Notice of Retraction: By using the directed operators to find a solution to the Split Common Fixed Point problem

2012 ◽  
Author(s):  
Haixia Li ◽  
Junling Li
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Problem ◽  
Point Problem ◽  
Common Fixed Point Problem ◽  
Split Common Fixed Point

scholarly journals A Cyclic Iterative Algorithm for Multiple-Sets Split Common Fixed Point Problem of Demicontractive Mappings without Prior Knowledge of Operator Norm

Mathematics ◽  
2021 ◽  
Vol 9 (4) ◽  
pp. 372
Author(s):  
Nishu Gupta ◽  
Mihai Postolache ◽  
Ashish Nandal ◽  
Renu Chugh
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Prior Knowledge ◽  
Iterative Algorithm ◽  
Fixed Point Problem ◽  
Null Point ◽  
Operator Norm ◽  
Point Problem ◽  
Common Fixed Point Problem ◽  
Split Common Fixed Point

The aim of this paper is to formulate and analyze a cyclic iterative algorithm in real Hilbert spaces which converges strongly to a common solution of fixed point problem and multiple-sets split common fixed point problem involving demicontractive operators without prior knowledge of operator norm. Significance and range of applicability of our algorithm has been shown by solving the problem of multiple-sets split common null point, multiple-sets split feasibility, multiple-sets split variational inequality, multiple-sets split equilibrium and multiple-sets split monotone variational inclusion.

scholarly journals The Split Common Fixed Point Problem for Total Asymptotically Strictly Pseudocontractive Mappings

2012 ◽  
Vol 2012 ◽  
pp. 1-13 ◽  
Author(s):  
S. S. Chang ◽  
L. Wang ◽  
Y. K. Tang ◽  
L. Yang
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Problem ◽  
Point Problem ◽  
Infinite Dimensional ◽  
Pseudocontractive Mappings ◽  
Common Fixed Point Problem ◽  
Split Common Fixed Point ◽  
Asymptotically Strictly Pseudocontractive Mappings ◽  
Strictly Pseudocontractive Mappings

The purpose of this paper is to propose an algorithm for solvingthe split common fixed point problems for total asymptotically strictly pseudocontractive mappingsin infinite-dimensional Hilbert spaces. The results presented in the paper improve and extend some recent results of Moudafi (2011 and 2010), Xu (2010 and 2006), Censor and Segal (2009), Censor et al. (2005), Masad and Reich (2007), Censor et al. (2007), Yang (2004), and others.

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