实可分Banach空间中K正定算子方程的逼近解

设E是带严格凸对偶空间的实可分Banach空间，设A：D（A）包含于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]中的结果。

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

Let E be a real separable Banach space with a strictly convex dual and letA: 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 1,3-4].