含有k-次增生算子T的方程x+Tx=f的Ishikawa迭代解

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

建立起了强收敛于方程 x+ Ty=f的解的 Ishikawa迭代过程 .其中 T是一致光滑 Banach空间中的一个在 D(T)上的既非有界又非 L ipschitz的 k -次增生算子 .推广了一些已有的结果 .

In this paper, we have established the strong con vergence of Ishikawa iterative processes to a solution of the equation x+Tx=f. Where the T is a k-subaccretive operator in a uniformly sm ooth Banach spaces, but is neither bound nor Lipschitzian on D(T). Some well-known results are generalized.