Best approximation to common fixed points of a semigroup of nonexpansive operators
Arkady Aleyner (aaleynernetvision.net.il)
Abstract: We study a sequential algorithm for finding the projection of a given point onto the common fixed points set of a semigroup of nonexpansive operators in Hilbert space. The convergence of such an algorithm was previously established only for finitely many nonexpansive operators. Algorithms of this kind have been applied to the best approximation and convex feasibility problems in various fields of applications.
Keywords: Best approximation, common fixed points, semigroup, nonexpansive operators, sequential algorithm.
Category 1: Convex and Nonsmooth Optimization
Category 2: Nonlinear Optimization (Constrained Nonlinear Optimization )
Citation: Journal of Nonlinear and Convex Analysis, Vol. 6 (2005), pp. 137-151.
Entry Submitted: 10/27/2004
Modify/Update this entry
|Visitors||Authors||More about us||Links|
Search, Browse the Repository
Give us feedback
|Optimization Journals, Sites, Societies|