Best Approximation to Common Fixed Points of a Semigroup of Nonexpansive Operators

Arkady Aleyner, Yair Censor

Research output: Contribution to journalArticlepeer-review

Abstract

We study a sequential algorithm for finding the projection of a given point onto the common fixed points set of a semigroup of non- expansive operators in Hilbert space. The convergence of such an algorithm was previously established only for finitely many nonex- pansive operators. Algorithms of this kind have been applied to the best approximation and convex feasibility problems in various fields of applications.
Original languageEnglish
Pages (from-to)137-151
Number of pages15
JournalJournal of Nonlinear and Convex Analysis
Volume6
Issue number1
StatePublished - Apr 2005

Fingerprint

Dive into the research topics of 'Best Approximation to Common Fixed Points of a Semigroup of Nonexpansive Operators'. Together they form a unique fingerprint.

Cite this