广义Φ-contractive映射的Ishikawa迭代收敛性

Q1 Mathematics Results in Nonlinear Analysis Pub Date : 2021-03-31 DOI:10.53006/RNA.793940

Linxin Li, Ding-Ping Wu

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引用次数: 5

摘要

Charles[1]证明了在实一致光滑Banach空间中广义Φ−增生非自映射的picard型迭代的收敛性。基于强Φ -拟增生的零点定理和强Φ -半收缩的不动点定理，我们将结果推广到广义Φ -半收缩映射的Ishikawa迭代和带有误差的Ishikawa迭代过程。

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The Convergence of Ishikawa Iteration for Generalized Φ-contractive Mappings

Charles[1] proved the convergence of Picard-type iterative for generalized Φ− accretive non-self maps in a real uniformly smooth Banach space. Based on the theorems of the zeros of strongly Φ− quasi- accretive and fixed points of strongly Φ− hemi-contractions, we extend the results to Ishikawa iterative and Ishikawa iteration process with er- rors for generalized Φ− hemi-contractive maps .

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