A New General Iterative Method for a Finite Family of Nonexpansive Mappings in Hilbert Spaces
1 Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
2 PERDO National Centre of Excellence in Mathematics, Faculty of Science, Mahidol University, Bangkok 10400, Thailand
Fixed Point Theory and Applications 2010, 2010:262691 doi:10.1155/2010/262691Published: 2 August 2010
We introduce a new general iterative method by using the -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.