φ-半伪压缩算子对的Ishikawa型迭代程序的收敛性和稳定性

Abstract

Abstract: 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.

Key words: φ-Hemi pseudocontrative operator, Ishikawa type iterative sequence, Convergence, Stability, Fixed point

CLC Number:

O177.91

Wang Xuewu. Convergence and Stability of Ishikawa Type Iterative Sequences for the φ-Hemi Pseudocontractive Operator Pair[J].Acta mathematica scientia,Series A, 2017, 37(2): 248-256.

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References

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

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