An iterative method for split inclusion problems without prior knowledge of operator norms

2016 ◽  
Vol 19 (3) ◽  
pp. 2017-2036 ◽  
Author(s):  
J. Y. Bello Cruz ◽  
Y. Shehu
Keyword(s):  
Iterative Method ◽  
Prior Knowledge ◽  
Inclusion Problems ◽  
Operator Norms

scholarly journals Strong Convergence of a New Iterative Algorithm for Split Monotone Variational Inclusion Problems

Mathematics ◽  
2019 ◽  
Vol 7 (2) ◽  
pp. 123 ◽  
Author(s):  
Lu-Chuan Ceng ◽  
Qing Yuan
Keyword(s):  
Iterative Method ◽  
Hilbert Spaces ◽  
Optimization Problem ◽  
Variational Inclusion ◽  
Hierarchical Optimization ◽  
Inclusion Problem ◽  
Inclusion Problems ◽  
Infinite Dimensional ◽  
Variational Inclusion Problem ◽  
General Iterative Method

The main aim of this work is to introduce an implicit general iterative method for approximating a solution of a split variational inclusion problem with a hierarchical optimization problem constraint for a countable family of mappings, which are nonexpansive, in the setting of infinite dimensional Hilbert spaces. Convergence theorem of the sequences generated in our proposed implicit algorithm is obtained under some weak assumptions.

Solving the split equality problem without prior knowledge of operator norms

Optimization ◽  
2014 ◽  
Vol 64 (9) ◽  
pp. 1887-1906 ◽  
Author(s):  
Qiao-Li Dong ◽  
Songnian He ◽  
Jing Zhao
Keyword(s):  
Prior Knowledge ◽  
Split Equality Problem ◽  
Equality Problem ◽  
Operator Norms
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