کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4625635 1631766 2016 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Error estimates for approximation of coupled best proximity points for cyclic contractive maps
ترجمه فارسی عنوان
خطا برای برآورد تقریبی بهترین نقاط نزدیکی برای نقشه های قراردادی سیکل برآورد شده است
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی

We enrich the known results about coupled fixed and best proximity points of cyclic contraction ordered pair of maps. The uniqueness of the coupled best proximity points for cyclic contraction ordered pair of maps in a uniformly convex Banach space is proven. We find a priori and a posteriori error estimates for the coupled best proximity points, obtained by sequences of successive iterations, when the underlying Banach space has modulus of convexity of power type. A looser conditions are presented for the existence and uniqueness of coupled fixed points of a cyclic contraction ordered pair of maps in a complete metric space and a priori, a posteriori error estimates and the rate of convergence for the coupled fixed points are obtained for the sequences of successive iterations. We apply these results for solving systems of integral equations, systems of linear and nonlinear equations.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 290, 1 November 2016, Pages 412–425
نویسندگان
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