TY - JOUR
T1 - A strongly convergent algorithm for the split common fixed point problem
AU - Boikanyo, Oganeditse A.
N1 - Publisher Copyright:
© 2015 Published by Elsevier Inc.
PY - 2015/6/22
Y1 - 2015/6/22
N2 - Abstract Recently, Cui and Wang (2014) constructed an algorithm for demicontractive operators that converges weakly, under mild assumptions, to some solution of the split common fixed point problem. In this paper, based on Halpern's type method (1967), we construct an algorithm for demicontractive operators that produces sequences that always converge strongly to a specific solution of the split common fixed point problem. Particular cases of directed operators and quasi-nonexpansive mappings are also considered.
AB - Abstract Recently, Cui and Wang (2014) constructed an algorithm for demicontractive operators that converges weakly, under mild assumptions, to some solution of the split common fixed point problem. In this paper, based on Halpern's type method (1967), we construct an algorithm for demicontractive operators that produces sequences that always converge strongly to a specific solution of the split common fixed point problem. Particular cases of directed operators and quasi-nonexpansive mappings are also considered.
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U2 - 10.1016/j.amc.2015.05.130
DO - 10.1016/j.amc.2015.05.130
M3 - Article
AN - SCOPUS:84934901490
SN - 0096-3003
VL - 265
SP - 844
EP - 853
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
M1 - 21251
ER -