ON STRONG CONVERGENCE OF HALPERN’S METHOD FOR QUASI-NONEXPANSIVE MAPPINGS IN HILBERT SPACES
Jesus Garcia Falset, Enrique Llorens-Fuster, Giuseppe Marino, Angela Rugiano
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Source: Crossref
Published: Jan 26, 2016
DOI: 10.3846/13926292.2016.1132787
Open original source ↗Source abstract
In this paper, we introduce a Halpern’s type method to approximate common fixed points of a nonexpansive mapping T and a strongly quasi-nonexpansive mappings S, defined in a Hilbert space, such that I − S is demiclosed at 0. The result shows as the same algorithm converges to different points, depending on the assumptions of the coefficients. Moreover, a numerical example of our iterative scheme is given.
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