is a real q-uniformly smooth Banach space and F,K:X→X with D(K)=F(X)=X are accretive maps. Under various continuity assumptions on F and K such that 0=u+KFu has a solution, iterative methods which converge strongly to
such a solution are constructed. No invertibility assumption is
imposed on K and the operators K and F need not be defined on compact subsets of X. Our method of proof is of independent interest.">
假设
X是一个真正的
问均匀光滑的巴拿赫空间
F
,
K
:
X
→
X与
D
(
K
)
=
F
(
X
)
=
X粘连的地图。在各种连续性假设
F和
K这样
0
=
u
+
K
F
u有解,迭代方法收敛强烈构造这样一个解决方案。不可逆性的假设是对的
K和运营商
K和
F不需要定义在紧凑的子集
X。证明我们的方法是独立的利益。