کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
843586 908559 2008 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Visco-penalization of the sum of two monotone operators
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Visco-penalization of the sum of two monotone operators
چکیده انگلیسی
A new type of approximating curve for finding a particular zero of the sum of two maximal monotone operators in a Hilbert space is investigated. This curve consists of the zeros of perturbed problems in which one operator is replaced with its Yosida approximation and a viscosity term is added. As the perturbation vanishes, the curve is shown to converge to the zero of the sum that solves a particular strictly monotone variational inequality. As an off-spring of this result, we obtain an approximating curve for finding a particular zero of the sum of several maximal monotone operators. Applications to convex optimization are discussed.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 69, Issue 2, 15 July 2008, Pages 579-591
نویسندگان
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