An Iterative Algorithm on Fixed Points for Closed and Quasi-Nonexpansive Mappings in Hilbert Spaces

Zhou Hai-yun · Shuxue de shijian yu renshi · 2009

A modified hybrid projection is introduced for constructing fixed points of closed and qasi-nonexpansive mappings in Hilbert spaces. With the modified iterative algorithm, a strong convergence theorem is proved. The main advantage of the new algorithm lies in the fact that the strong convergence result is established without making use of demi-closedness property for mapping T.

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