SPLIT EQUALITY FIXED POINT PROBLEMS OF QUASI-NONEXPANSIVE OPERATORS IN HILBERT SPACES

Let H-1, H-2, H-3 be three Hilbert spaces. Let T-1 : H-1 -> H(1 )and T-2 : H-2 -> H-2 be two quasi-nonexpansive operators. Let A : H-1 -> H-3 and B : H-2 -> H-3 be two bounded and linear operators. The split equality fixed point problem of quasi-nonexpansive operators is to find x is an element of H-1 and y is an element of H-2 such that x = T(1)x , y = T(2)y 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.