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Convergence of iterative sequences for fixed points of an infinite family of nonexpansive mappings based on a hybrid steepest descent methods

✍ Scribed by Nawitcha Onjai-uea, Chaichana Jaiboon…


Book ID
120733665
Publisher
Hindawi Publishing Corporation
Year
2012
Tongue
English
Weight
325 KB
Volume
2012
Category
Article
ISSN
1025-5834

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Let H be a real Hilbert space. Consider the iterative sequence where γ > 0 is some constant, f : H → H is a given contractive mapping, A is a strongly positive bounded linear operator on H and W n is the W -mapping generated by an infinite countable family of nonexpansive mappings T 1 , T 2 , . . .