Dianlu Tian, Lining Jiang, Luoyi Shi, Rudong Chen, Split equality fixed point problems of quasi-nonexpansive operators in Hilbert spaces, Vol. 2019 (2019), Article ID 11, pp. 1-12

Full TextPDF
DOI: 10.23952/jnfa.2019.11

Received September 7, 2018; Accepted February 22, 2019, March 21, 2019

 

Abstract. Let H_1, H_2, H_3 be three Hilbert spaces. Let T_1:H_1\rightarrow H_1 and T_2:H_2\rightarrow H_2 be two quasi-nonexpansive operators. Let A:H_1\rightarrow H_3 and B:H_2\rightarrow H_3 be two bounded and linear operators. The split equality fixed point problem of quasi-nonexpansive operators is to find x\in H_1 and y\in H_2 such that x=T_1x, y=T_2y 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.

 

How to Cite this Article:
Dianlu Tian, Lining Jiang, Luoyi Shi, Rudong Chen, Split equality fixed point problems of quasi-nonexpansive operators in Hilbert spaces, Journal of Nonlinear Functional Analysis, Vol. 2019 (2019), Article ID 11, pp. 1-12.