Parallel Hybrid Methods for a Finite Family of Relatively Nonexpansive Mappings

Pham Ky Anh, Cao Van Chung · Numerical Functional Analysis and Optimization · 2013

In this article, we propose two parallel hybrid methods for finding a common fixed point of a finite family of relatively nonexpansive mappings. The strong convergence of the methods is established and their effectiveness are examined by numerical experiments. Thanks to the parallel computation, we can reduce the overall computational effort under widely used assumptions on mappings and spaces.

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