实可分Banach空间中K正定算子方程的逼近解(英文)

Approximation of a Solution for a K-Positive Definite Operator Equation in Real Separable Banach Spaces

设E是带严格凸对偶空间的实可分Banach空间 ,设A :D(A) E→E是一K正定算子 .对任意f∈E ,我们构造了强收敛于算子方程Ax=f唯一解的新的带误差的迭代过程 .我们的工作推广了文 [1 ,3 4

Let E be a real separable Banach space with a strictly convex dual and let A:D(A)E→E be a K-positive definite operator. Let f∈E be arbitrary. A new iterative process with errors is constructed which converges strongly to the unique solution of the equation Ax=f. Our work extends some of the known results in \.