کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9506600 1340753 2005 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Convergence and stability of iterative algorithms of generalized set-valued variational-like inclusions in Banach spaces
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Convergence and stability of iterative algorithms of generalized set-valued variational-like inclusions in Banach spaces
چکیده انگلیسی
In this paper, we give the notion of P-η-proximal mapping, an extension of P-proximal mapping given by Ding and Xia [J. Comput. Appl. Math. 147 (2002) 369], for a nonconvex lower semicontinuous η-subdifferentiable proper functional on Banach space and prove its existence and Lipschitz continuity. Further, we consider a class of generalized set-valued variational-like inclusions in Banach space and show its equivalence with a class of implicit Wiener-Hopf equations using the concept of P-η-proximal mapping. Using this equivalence, we propose a new class of iterative algorithms for the class of generalized set-valued variational-like inclusions. Furthermore, we prove the existence of solution of generalized set-valued variational-like inclusions and discuss the convergence criteria and the stability of the iterative algorithm.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 166, Issue 1, 6 July 2005, Pages 164-180
نویسندگان
, ,