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首页> 外文期刊>Journal of nonlinear and convex analysis >FIXED POINT ITERATIVE METHODS DEFINED AS ADMISSIBLE PERTURBATIONS OF GENERALIZED PSEUDOCONTRACTIVE OPERATORS
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FIXED POINT ITERATIVE METHODS DEFINED AS ADMISSIBLE PERTURBATIONS OF GENERALIZED PSEUDOCONTRACTIVE OPERATORS

机译:定义为广义伪压缩算子的容许扰动的不动点迭代法

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摘要

We establish convergence of a Krasnoselskij type fixed point iterative method constructed as the admissible perturbation of a nonlinear Lipschitzian and generalized pseudocontractive operator defined on a convex closed subset of a Hilbert space. Both a priori and a posteriori error estimates are obtained for the new algorithm. Our convergence theorem extends and unifies several related results in the current literature.
机译:我们建立了Krasnoselskij型不动点迭代方法的收敛性,该方法构造为在希尔伯特空间的凸封闭子集上定义的非线性Lipschitzian和广义伪压缩算子的容许扰动。对于新算法,获得了先验误差估计和后验误差估计。我们的收敛定理扩展并统一了当前文献中的几个相关结果。

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