含有k-次增生算子的方程x+Tx=f的具混合误差的Ishika wa迭代解

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

研究了一致光滑Banach空间中,k 次增生算子方程x+Tx=f解的具混合误差的迭代过程.其中T不必是Lipschitz的,也不必是有界的.

The strong convergence of Ishikawa iteration processes with mixed errors to a solution of the equation x+Tx=f is studied, Where the T is a k-subaccretive operator in a uniformly smooth Banach space, but is neither bound and Lipschitz. Some well-know results are generalized.