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Finding common fixed points of a class of paracontractions

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Abstract

For a suitable set of not necessarily linear operators on a real Hilbert space, such that the set of common fixed points of the operators is nonempty and has an interior point, we construct an asynchronous parallel algorithm that leads to a common fixed point in a finite number of steps. This generalizes a result in [13].

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Crombez, G. Finding common fixed points of a class of paracontractions. Acta Mathematica Hungarica 103, 233–241 (2004). https://doi.org/10.1023/B:AMHU.0000028410.94541.fb

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