φ-半伪压缩算子对的Ishikawa型迭代程序的收敛性和稳定性

Convergence and Stability of Ishikawa Type Iterative Sequences for the φ-Hemi Pseudocontractive Operator Pair

该文引入算子对的稳定性概念,在φ(x)/x非减的条件下,利用与以往文献不同的方法,研究了φ-半伪压缩算子对的Ishikawa型迭代序列的收敛性和稳定性.这些结果推广,改进和完善了迭代逼近理论的相关结果.

In this paper, the stability conceptions for operator pair is introduced. Under the condition that φ（x）/x is nondecreasing, using the different method, we study the convergence and stability of Ishikawa type iterative sequences for the φ-hemi pseudocontrative operator pair. This results presented in this paper extend, improve and perfect the well-known corresponding results in iterative approximation theory.