含有k-次增生算子T的方程x+Tx=f的带误差的Ishikawa迭代解

The Ishikawa Iterative Process with Errors for the Solution of the Equation x+Tx=f for a k-subaccretive Operator T

建立了强收敛于方程x+Tx=f的解的带误差的Ishikawa迭代过程,其中T是一致光滑Banach空间中的一个在D(T)既不必有界又不必连续(因而不必Lipschitz)的k 次增生算子,推广了一些已有的结果.

In this paper, the strong convergence of Ishikawa iterative process with errors for a solution of the equation x+Tx=f is established, where T is a k-subaccretive operator in a uniformly smooth Banach space which is neither bound nor continuous (therefore nor Lipschitzian) on D(T). Some well-known results are generalized.