Convergence of Krasnoselskii-Mann iterations of nonexpansive operators

Authors:
S. Reich;A. J. Zaslavski
Affiliations:
Department of Mathematics, The TechnionIsrael Institute of Technology 32000 Haifa, Israel;Department of Mathematics, The TechnionIsrael Institute of Technology 32000 Haifa, Israel
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2000

Citing 4
Cited 1

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Convergence theorems for inertial KM-type algorithms

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Abstract

In this paper, we show that a generic nonexpansive operator on a closed and convex, but not necessarily bounded, subset of a hyperbolic space has a unique fixed point which attracts the Krasnoselskii-Mann iterations of this operator.