NOTES ON BROWDER'S AND HALPERN'S METHODS FOR NONEXPANSIVE MAPPINGS

Cui Yan-lan, Xia Liu · 2009

We show that a projection applied to Browder's and Halpern's methods can find the minimum-norm fixed point of a nonexpansive mapping. This supplements the results in existing literature on iterative methods for finding fixed points of nonexpansive mappings. An application to finding the minimum-norm solution of a convex minimization problem is

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