A New General Iterative Method for a Finite Family of Nonexpansive Mappings in Hilbert Spaces

Urailuk Singthong, Suthep Suantai · Fixed Point Theory and Applications · 2010

Abstract We introduce a new general iterative method by using the "Equation missing"-mapping for finding a common fixed point of a finite family of nonexpansive mappings in the framework of Hilbert spaces. A strong convergence theorem of the purposed iterative method is established under some certain control conditions. Our results improve and extend the results announced by many others.

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