Perturbation resilience and superiorization methodology of averaged mappings

2017 ◽  
Vol 33 (4) ◽  
pp. 044007 ◽  
Author(s):  
Hongjin He ◽  
Hong-Kun Xu
Author(s):  
Anteneh Getachew Gebrie ◽  
Dejene Shewakena Bedane

AbstractThe purpose of this paper is to propose a new inertial self-adaptive algorithm for generalized split system of common fixed point problems of finite family of averaged mappings in the framework of Hilbert spaces. The weak convergence theorem of the proposed method is given and its theoretical application for solving several generalized problems is presented. The behavior and efficiency of the proposed algorithm is illustrated by some numerical tests.


Author(s):  
Konstantin Makarychev ◽  
Yury Makarychev

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