Common fixed point and invariant approximation results

被引：1

作者：

Abbas, Mujahid ^{[1
]}

Kim, Jong Kyu ^{[2
]}

机构：

[1] Indiana Univ, Dept Math, Bloomington, IN 47405 USA

[2] Kyungnam Univ, Dept Math Educ, Kyungnam 631701, South Korea

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2007年 / 44卷 / 03期

关键词：

metrizable topological vector space; common fixed point; uniformly R-subweakly commuting mapping; asymptotically S-nonexpansive mapping; best approximation;

D O I：

10.4134/BKMS.2007.44.3.537

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Necessary conditions for the existence of common fixed points for noncommuting mappings satisfying generalized contractive conditions in the setup of certain metrizable topological vector spaces are obtained. As applications, related results on best approximation are derived. Our results extend, generalize and unify various known results in the literature.

引用

收藏

页码：537 / 545

页数：9

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