Two New Iterative Methods for a Countable Family of Nonexpansive Mappings in Hilbert Spaces

Shuang Wang, Changsong Hu · Fixed Point Theory and Applications · 2010

Abstract We consider two new iterative methods for a countable family of nonexpansive mappings in Hilbert spaces. We proved that the proposed algorithms strongly converge to a common fixed point of a countable family of nonexpansive mappings which solves the corresponding variational inequality. Our results improve and extend the corresponding ones announced by many others.

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