Banach空间中一类算子方程解的迭代收敛定理

Convergence Theorems to a Class of Operator Equations for Iteration Process in Banach Spaces

通过采用强伪压缩算子和正规对偶算子相结合的方法,研究了Banach空间中一类算子方程解的迭代收敛性.与已有结果相比,该证明方法更为简捷.

Convergence results to a class of nonlinear operator equations for iteration process in Banach spaces are studied by using the method of combining the strongly pseudo-contraction operator with the normalized duality operator.Being compared with those known ones,the proving method is more succinct.