کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
843361 908552 2009 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Approximation of solutions of Hammerstein equations with bounded strongly accretive nonlinear operators
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Approximation of solutions of Hammerstein equations with bounded strongly accretive nonlinear operators
چکیده انگلیسی

Suppose XX is a real qq-uniformly smooth Banach space and F,K:X→XF,K:X→X are bounded strongly accretive maps with D(K)=F(X)=XD(K)=F(X)=X. Let u∗u∗ denote the unique solution of the Hammerstein equation u+KFu=0u+KFu=0. A new explicit coupled iteration process is shown to converge strongly to u∗u∗. No invertibility assumption is imposed on KK and the operators KK and FF need not be defined on compact subsets of XX. Furthermore, our new technique of proof is of independent interest. Finally, some interesting open questions are included.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 70, Issue 11, 1 June 2009, Pages 4071–4078
نویسندگان
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