含有φ一次增生算子T的方程x+Tx=f的Ishikawa迭代解

THE ISHIKAWA ITREATIVE SOLUTION OF THE EQUATION x-Tx=f FOR A φ-SUBACCRETIVE OPERATOR T

引入了φ一次增生算子的概念。建立起了强收敛于方程x+Tx=f的解的Ish ikawa迭代过程,其中T是任意实Banach空间的L ipsch itz,φ一次增生算子。所得的结果改进和推广了已有的一些结果。

This paper introduces a new conception of φ - subaccretive operator and establish the strong convergence of Ishikawa iterative process to a solution of the equation x ＋ Tx =f, where the T is a φ - subaccretive operator in an arbitrary real Banach space. Some well -known results are generalized.