Journal of Convex Analysis 16 (2009), No. 3, 633--640
Copyright Heldermann Verlag 2009
Random Products of Quasi-Nonexpansive Mappings in Hilbert Space
Arkady Aleyner
Dept. of Mathematics, The Technion - Israel Institute of Technology, 32000 Haifa, Israel
aaleyner@tx.technion.ac.il
Simeon Reich
Dept. of Mathematics, The Technion - Israel Institute of Technology, 32000 Haifa, Israel
sreich@tx.technion.ac.il
An algorithmic framework based on either random (unrestricted) or quasi-cyclic products for finding a point in the intersection of the fixed point sets of a finite collection of quasi-nonexpansive mappings is considered and two convergence theorems are established.
Keywords: Common fixed point, infinite product, quasi-nonexpansive mapping, relaxation method.
MSC: 47H09, 47H10, 49M20
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