کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4634532 1340694 2007 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Some resolvent iterative methods for variational inclusions and nonexpansive mappings
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Some resolvent iterative methods for variational inclusions and nonexpansive mappings
چکیده انگلیسی

In this paper, we suggest and analyze three-step iterations for finding the common element of the set of fixed points of a nonexpansive mappings and the set of the solutions of the variational inclusions using the resolvent operator technique. We also study the convergence criteria of three-step iterative method under some mild conditions. Our results include the previous results of Noor [M. Aslam Noor, General variational inequalities and nonexpansive mappings, J. Math. Anal. Appl. 331 (2007) 810–822] and Noor and Huang [M. Aslam Noor, Zhenyu Huang, Three-step methods for nonexpansive mappings and variational inequalities, Appl. Math. Comput., in press. http://dx.doi.org/10.1016/j.amc.2006.08.088] as special cases and may be considered as an improvement and refinement of the previously known results.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 194, Issue 1, 1 December 2007, Pages 267–275
نویسندگان
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