Approximation of solutions of nonlinear equations of Hammerstein type in Hilbert space

被引：27

作者：

Chidume, CE ^{[1
]}

Zegeye, H ^{[1
]}

机构：

[1] Abdus Salam Int Ctr Theoret Phys, Trieste, Italy

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2005年 / 133卷 / 03期

关键词：

Hilbert spaces; maximal monotone mappings; monotone mappings; range condition;

D O I：

10.1090/S0002-9939-04-07568-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let H be a real Hilbert space. Let F : D(F) subset of or equal to H --> H, K : D(K) subset of or equal to H --> H be bounded monotone mappings with R(F) subset of or equal to D(K), where D(F) and D(K) are closed convex subsets of H satisfying certain conditions. Suppose the equation 0 = u + KFu has a solution in D(F). Then explicit iterative methods are constructed that converge strongly to such a solution. No invertibility assumption is imposed on K, and the operators K and F need not be defined on compact subsets of H.

引用

页码：851 / 858

页数：8

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