An New Iterative Scheme for Variational Inequalities and Nonexpansive Mappings in Hilbert Spaces

نویسندگان

  • Qiqiong Chen
  • Congjun Zhang
چکیده

In this paper, a new three-step iterative scheme is introduced for finding the common element of the set of fixed points of a nonexpansive mapping and the set of solutions of a variational inequality for α-inverse-strongly monotone mappings. The result reveals that the proposed iterative sequence converges strongly to the common element of this two. And our studies can be regarded as an extension of the existing results, which we illustrate one by one in our remarks.

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تاریخ انتشار 2015