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

โœ Scribed by Heinz H. Bauschke

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
130 KB
Volume
202
Category
Article
ISSN
0022-247X

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โœฆ Synopsis

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.

๐Ÿ“œ SIMILAR VOLUMES

Strong Convergence to Common Fixed Point
Strong Convergence to Common Fixed Points of Families of Nonexpansive Mappings
โœ Tomoo Shimizu; Wataru Takahashi ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 184 KB

We introduce iteration schemes for families of nonexpansive mappings in Hilbert spaces, and prove that the iterates converge strongly to common fixed points of the mappings.