EXISTENCE OF COMMON RANDOM FIXED POINTAND RANDOM BEST APPROXIMATION FORNON-COMMUTING RANDOM OPERATORS

HEMANT KUMAR NASHINE

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EXISTENCE OF COMMON RANDOM FIXED POINTAND RANDOM BEST APPROXIMATION FORNON-COMMUTING RANDOM OPERATORS

机译：非通信随机算子的公共随机不动点的存在和最佳最佳逼近

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摘要

We present existence of common random fixed point as ran-dom best approximation results for non-commuting random oper-ators. These results improve, extend and generalize some existingknown results in the literature.

机译：我们提出了公共随机不动点的存在，作为非交换随机算子的随机最佳逼近结果。这些结果改进，扩展和概括了文献中一些现有的已知结果。

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《Bulletin of the Institute of Mathematics, Academia Sinica》 |2010年第1期|共16页
作者
HEMANT KUMAR NASHINE;
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正文语种 eng
中图分类数学;
关键词
Asymptotically nonexpansive maps; Uniformly asymptoticallyregular map; Random best approximation; random fixed point; random operator; nonex-pansive mapping; Banach operator; 7Z-weakly commuting maps. R-subweakly commutingmaps; uniformly R-subweakly commuting maps;

机译：渐近非扩张映射;一致渐近正则映射;随机最佳逼近;随机不动点;随机算子;非扩张映射;Banach算子;7Z弱通勤图。 R-次弱通勤图;R-次弱通勤图;

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1. EXISTENCE OF COMMON RANDOM FIXED POINTAND RANDOM BEST APPROXIMATION FORNON-COMMUTING RANDOM OPERATORS [J] . HEMANT KUMAR NASHINE Bulletin of the Institute of Mathematics, Academia Sinica . 2010,第1期

机译：非通信随机算子的公共随机不动点的存在和最佳最佳逼近
2. Random approximation with weak contraction random operators and a random fixed point theorem for nonexpansive random self-mappings [J] . Suhong Li, Xin Xiao, Lihua Li, Journal of inequalities and applications . 2012,第1期

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机译：用于有限族随机运算符的常见随机固定点的近似

EXISTENCE OF COMMON RANDOM FIXED POINTAND RANDOM BEST APPROXIMATION FORNON-COMMUTING RANDOM OPERATORS

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