一致平滑可分的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 U Smooth Separable Banach Spaces

设Ｅ是可分的一致平滑Ｂａｎａｃｈ空间，Ａ：Ｄ（Ａ）Ｅ→Ｅ是一个Ｋ－正定算子。构造了一个迭代序列强收敛于算子方程Ａｘ＝ｆ（ｆ∈Ｅ）的唯一解。所做工作推广了Ｃｈｉｄｕｍｅ与Ｏｓｉｌｉｋｅ，Ｃｈｉｄｕｍｅ与Ａｎｅｋｅ等人的结果。

Let E be separable uniformly smooth Banach space,and let A:D(A)E→E be a K-positive definite operator.Let f∈E be arbitray.An iterative method is constructed which converges strongly to the unique solution of the equation Ax=f. Our work extents some of the known results due to Chidume and Osilike, Chidume and Aneke.