The Uniform Asymptotical Regularity of Families of Mappings and Solutions of Variational Inequality Problems
نویسندگان
چکیده
In this paper our aim is to introduce a new class of procedure, the Uniformly Asymptotically Regular-class of procedures (UAR-precedures), showing some examples of procedures as for finite family of mappings, as for infinite family of mappings. Then by a UAR-procedure we prove the convergence of an implicit iterative method and of an explicit iterative method to the unique solution of a variational inequality problem on the set of common fixed points of a family of mappings, in the setting of uniformly smooth Banach spaces.
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تاریخ انتشار 2013