Stability of the Picard Iterative Procedure for Mappings Which Satisfy Implicit Relations

Ioana Timis

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Stability of the Picard Iterative Procedure for Mappings Which Satisfy Implicit Relations

机译：满足隐式关系的映射的Picard迭代过程的稳定性

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摘要

We obtain a general stability result for the Picard iterative procedure associated to contractive mappings which satisfy an implicit relation.

机译：我们获得与满足隐式关系的压缩映射相关的Picard迭代过程的一般稳定性结果。

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来源
《Communications on applied nonlinear analysis》 |2012年第4期|37-44|共8页
作者
Ioana Timis;
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作者单位

North University of Baia Mare Department of Mathematics and Informatics Victoriei 76, 430122 Baia Mare, Romania;

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原文格式 PDF
正文语种 eng
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关键词
fixed point; stability; implicit relation;

机译：固定点;稳定性;隐式关系;

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专利

1. Stability of Picard iteration for contractive mappings satisfying an implicit relation [J] . Berinde V Carpathian Journal of Mathematics . 2011,第1期

机译：满足隐式关系的压缩映射的Picard迭代的稳定性
2. Implicit Midpoint Type Picard Iterations for Strongly Accretive and Strongly Pseudocontractive Mappings [J] . Shin Min Kang, Arif Rafiq, Young Chel Kwun, Journal of computational analysis and applications . 2018,第3期

机译：隐式中点类型图卡德迭代用于强烈增持和强伪变性映射
3. On the convergence of implicit picard iterative sequences for strongly pseudocontractive mappings in banach spaces [J] . Kang S.M., Rafiq A., Cho S.Y. Journal of applied mathematics . 2013,第Pta2期

机译：Banach空间中强伪压缩映射的隐式皮卡德迭代序列的收敛性
4. AN ASSESSMENT OF THE IMPLICIT NON-ITERATIVE PISO SOLUTION PROCEDURE FOR THE PREDICTION OF COMBUSTOR PERFORMANCE [C] . Megan Karalus, Niveditha Krishnamoorthy, Bob Reynolds, ASME Turbo Expo: Turbomachinery Technical Conference and Exposition . 2019

机译：预测燃烧器性能的隐式非迭代PISO解决方案的评估
5. Modified Chebyshev Picard iteration: Integration of perturbed motion using modified equinoctial elements. [D] . Read, Julie Louise. 2016

机译：改进的Chebyshev Picard迭代：使用改进的等量线元素对扰动进行积分。
6. Some results on T-stability of Picard’s iteration [O] . Thokchom Chhatrajit, Yumnam Rohen -1

机译：关于Picard迭代的T稳定性的一些结果
7. Stability of Jungck-type iterative procedure for some contractive type mappings via implicit relations [O] . Ioana Timiş 2012

机译：通过隐式关系稳定性迭代程序的一些收缩型映射

Stability of the Picard Iterative Procedure for Mappings Which Satisfy Implicit Relations

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