A New Iteration Method for Nonexpansive Mappings and Monotone Mappings in Hilbert Spaces
نویسندگان
چکیده
We introduce a new composite iterative scheme by the viscosity approximation method for nonexpansive mappings andmonotone mappings in a Hilbert space. It is proved that the sequence generated by the iterative scheme converges strongly to a common point of set of fixed points of nonexpansive mapping and the set of solutions of variational inequality for an inversestrongly monotone mappings, which is a solution of a certain variational inequality. Our results substantially develop and improve the corresponding results of Chen et al. 2007 and Iiduka and Takahashi 2005 . Essentially a new approach for finding the fixed points of nonexpansive mappings and solutions of variational inequalities for monotone mappings is provided.
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