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Received September 7, 2018; Accepted February 22, 2019, March 21, 2019
Abstract. Let , , be three Hilbert spaces. Let and be two quasi-nonexpansive operators. Let and be two bounded and linear operators. The split equality fixed point problem of quasi-nonexpansive operators is to find and such that and . 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.