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

页码：537 / 545

页数：9

共 50 条

[1] Common fixed point and invariant approximation results
Kutbi, Marwan A.
[J]. FIXED POINT THEORY AND APPLICATIONS, 2013,
[2] Common fixed point and invariant approximation results
Marwan A Kutbi
[J]. Fixed Point Theory and Applications, 2013
[3] Fixed point and common fixed point results in cone metric space and application to invariant approximation
Kumar, Anil
Rathee, Savita
[J]. FIXED POINT THEORY AND APPLICATIONS, 2015,
[4] Fixed point and common fixed point results in cone metric space and application to invariant approximation
Anil Kumar
Savita Rathee
[J]. Fixed Point Theory and Applications, 2015
[5] COMMON FIXED POINT AND INVARIANT APPROXIMATION RESULTS IN LOCALLY CONVEX SPACES
Goudarzi, M.
Vaezpour, S. M.
[J]. JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2011, 13 (06) : 1039 - 1053
[6] Some Common Fixed Point Results for Modified Subcompatible Maps and Related Invariant Approximation Results
Rathee, Savita
Kumar, Anil
[J]. ABSTRACT AND APPLIED ANALYSIS, 2014,
[7] Common fixed point and invariant approximation results for gregus type I-contractions
Hussain, N.
Rhoades, B. E.
Jungck, G.
[J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2007, 28 (9-10) : 1139 - 1151
[8] Some common fixed-point and invariant approximation results with generalized almost contractions
Savita Rathee
Anil Kumar
[J]. Fixed Point Theory and Applications, 2014
[9] Common fixed point and invariant approximation results in certain metrizable topological vector spaces
Nawab Hussain
Vasile Berinde
[J]. Fixed Point Theory and Applications, 2006
[10] Some common fixed-point and invariant approximation results with generalized almost contractions
Rathee, Savita
Kumar, Anil
[J]. FIXED POINT THEORY AND APPLICATIONS, 2014,

← 1 2 3 4 5 →