Article ID Journal Published Year Pages File Type
842804 Nonlinear Analysis: Theory, Methods & Applications 2010 8 Pages PDF
Abstract

Consider a finite family of nonexpansive mappings which are defined on a closed convex subset of a Hilbert space HH. Suppose the set of common fixed points of this family is nonempty. We then address the problem of finding the minimum-norm element of this common fixed point set. We introduce both cyclic and parallel iteration methods to find this minimal-norm element.

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