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Weak and Strong Convergence Theorems for Asymptotically Strict Pseudocontractive Mappings in the Intermediate Sense

机译:中间意义上渐近严格伪压缩映射的弱和强收敛定理

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摘要

We study the convergence of Ishikawa iteration process for the class of asymptotically -strict pseudocontractive mappings in the intermediate sense which is not necessarily Lipschitzian. Weak convergence theorem is established. We also obtain a strong convergence theorem by using hybrid projection for this iteration process. Our results improve and extend the corresponding results announced by many others.
机译:在中间意义上,我们研究了渐近严格的伪压缩映射类的Ishikawa迭代过程的收敛性,这不一定是Lipschitzian。建立了弱收敛定理。通过在此迭代过程中使用混合投影,我们还获得了强大的收敛定理。我们的结果改进并扩展了许多其他公司宣布的相应结果。

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