Shrinking Projection Methods for Quasi-Strict Asymptotically Pseudo-Contractions

2012 ◽  
Author(s):  
Xinghui Gao ◽  
Xinggui Gao ◽  
Lerong Ma
Keyword(s):  
Projection Methods ◽  
Shrinking Projection Methods

scholarly journals Weak and strong convergence results for the modified Noor iteration of three quasi-nonexpansive multivalued mappings in Hilbert spaces

Filomat ◽  
2020 ◽  
Vol 34 (8) ◽  
pp. 2495-2510
Author(s):  
Watcharaporn Chaolamjiak ◽  
Suhel Khan ◽  
Hasanen Hammad ◽  
Hemen Dutta
Keyword(s):  
Strong Convergence ◽  
Hilbert Spaces ◽  
Projection Methods ◽  
Iteration Scheme ◽  
Multivalued Mappings ◽  
Technical Term ◽  
Convergence Results ◽  
Comparison Results ◽  
Weak Convergence Theorem ◽  
Shrinking Projection Methods

The paper aims to present an advanced algorithm by taking help of the Noor-iteration scheme along with the inertial technical term for three quasi-nonexpansive multivalued in Hilbert spaces. A weak convergence theorem under certain conditions has been given and added the CQ and shrinking projection methods to our algorithm to obtain certain strong convergence results. Furthermore, numerical experiments are provided by constructing an example and comparison results have also been incorporated.

Shrinking projection methods for firmly nonexpansive mappings

2009 ◽  
Vol 71 (12) ◽  
pp. e1626-e1632 ◽  
Author(s):  
Koji Aoyama ◽  
Fumiaki Kohsaka ◽  
Wataru Takahashi
Keyword(s):  
Nonexpansive Mappings ◽  
Projection Methods ◽  
Firmly Nonexpansive ◽  
Firmly Nonexpansive Mappings ◽  
Shrinking Projection Methods
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