کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
842086 908525 2010 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Convergence theorems, best approximation and best proximity for set-valued dynamic systems of relatively quasi-asymptotic contractions in cone uniform spaces
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Convergence theorems, best approximation and best proximity for set-valued dynamic systems of relatively quasi-asymptotic contractions in cone uniform spaces
چکیده انگلیسی

In cone uniform spaces XX, using the concept of the DD-family of cone pseudodistances, the distance between two not necessarily convex or compact sets AA and BB in XX is defined, the concepts of cyclic and noncyclic set-valued dynamic systems of DD-relatively quasi-asymptotic contractions T:A∪B→2A∪BT:A∪B→2A∪B are introduced and the best approximation and best proximity point theorems for such contractions are proved. Also conditions are given which guarantee that for each starting point each generalized sequence of iterations of these contractions (in particular, each dynamic process) converges and the limit is a best proximity point. Moreover, DD-families are constructed, characterized and compared. The results are new for set-valued and single-valued dynamic systems in cone uniform, cone locally convex and cone metric spaces. Various examples illustrating ideas, methods, definitions and results are constructed.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 72, Issue 2, 15 January 2010, Pages 794–805
نویسندگان
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