Monotone Hybrid Method for Nonexpansive Mappings and Nonexpansive Semigroups

Zhiming Li · Journal of Civil Aviation University of China · 2009

In Hilbert spaces,using monotone hybrid method,we modify an implicit iteration scheme introduced by J.Zhao et al.for a finite family nonexpansive mappings and a nonexpansive semigroup,and prove strong convergence theorems.Meanwhile,this method was applied to approximate zero-point of monotone operators and obtain strong convergence theorem.

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