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The Approximation of Fixed Points of Compositions of Nonexpansive Mappings in Hilbert Space

Journal of Mathematical Analysis and ApplicationsPublished 1 August 1996
Heinz H. Bauschke
Citations345
SJR quartileQ1
SJR score0.85
SNIP1.14

Abstract

Determining fixed points of nonexpansive mappings is a frequent problem in mathematics and physical sciences. An algorithm for finding common fixed points of nonexpansive mappings in Hilbert space, essentially due to Halpern, is analyzed. The main theorem extends Wittmann's recent work and partially generalizes a result by Lions. Algorithms of this kind have been applied to the convex feasibility problem.

Keywords

Computer ScienceMathematics