Abstract
Let K be a compact convex subset of a real Hilbert space H ; T : K → K a hemicontractive map. Let { α n } be a real sequence in [0,1] satisfying appropriate conditions; then for arbitrary x 0 ∈ K , the sequence { x n } defined iteratively by x n = α n x n − 1 + ( 1 − α n ) T x n , n ≥ 1 converges strongly to a fixed point of T .
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