Abstract
Recently, Moudafi introduced the split equality problem (SEP): find such that Ax = By. In this paper, we show that finding a solution of the SEP is equivalent to finding a solution of a coupled fixed-point equation which is an extension of the coupled equation proposed by Yu and Wang. Based on this coupled fixed-point equation, we propose two new relaxed alternating algorithms for the SEP, and we prove that the first relaxed algorithm is weakly convergent and the second is strongly convergent.
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