TY - JOUR
T1 - Split equality fixed point problems of quasi-nonexpansive operators in Hilbert spaces
AU - Tian, Dianlu
AU - Jiang, Lining
AU - Shi, Luoyi
AU - Chen, Rudong
N1 - Publisher Copyright:
© 2019 Journal of Nonlinear Functional Analysis.
PY - 2019
Y1 - 2019
N2 - Let H1,H2,H3 be three Hilbert spaces. Let T1 : H1 → H1 and T2 : H2 → H2 be two quasi-nonexpansive operators. Let A : H1 → H3 and B : H2 → H3 be two bounded and linear operators. The split equality fixed point problem of quasi-nonexpansive operators is to find x ∈ H1 and y ∈ H2 such that x = T1x, y = T2y and Ax = By. In this paper, we introduce an iterative algorithm to solve the split equality fixed point problem. We show that the proposed algorithm is strongly convergent without any compactness imposed on the operators.
AB - Let H1,H2,H3 be three Hilbert spaces. Let T1 : H1 → H1 and T2 : H2 → H2 be two quasi-nonexpansive operators. Let A : H1 → H3 and B : H2 → H3 be two bounded and linear operators. The split equality fixed point problem of quasi-nonexpansive operators is to find x ∈ H1 and y ∈ H2 such that x = T1x, y = T2y and Ax = By. In this paper, we introduce an iterative algorithm to solve the split equality fixed point problem. We show that the proposed algorithm is strongly convergent without any compactness imposed on the operators.
KW - Split common fixed point problem
KW - Split equality problem
KW - Split feasibility problem
UR - http://www.scopus.com/inward/record.url?scp=85067389842&partnerID=8YFLogxK
U2 - 10.23952/jnfa.2019.11
DO - 10.23952/jnfa.2019.11
M3 - Article
AN - SCOPUS:85067389842
SN - 2052-532X
VL - 2019
JO - Journal of Nonlinear Functional Analysis
JF - Journal of Nonlinear Functional Analysis
M1 - 11
ER -