Strong convergence results for nonself multimaps in Banach spaces

被引：0

作者：

Shahzad, N. ^{[1
]}

Zegeye, H. ^{[2
]}

机构：

[1] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia

[2] Bahir Dar Univ, Bahir Dar, Ethiopia

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2008年 / 136卷 / 02期

关键词：

nonexpansive multimap; fixed point; nonexpansive retract; Banach limit; inwardness; Banach space;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove strong convergence theorems for multimaps under mild conditions, which include Browder's convergence theorem as well as Reich's convergence theorem. We thus provide a partial answer to Jung's question.

引用

页码：539 / 548

页数：10

共 50 条

[1] Strong convergence of an iterative algorithm for nonself multimaps in Banach spaces
Ceng, Lu-Chuan
Yao, Jen-Chih
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (10) : 4476 - 4485
[2] Strong convergence theorems for nonexpansive nonself-mappings in Banach spaces
Jung, JS
Kim, SS
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1998, 33 (03) : 321 - 329
[3] Strong convergence theorems for nonexpansive nonself-mappings in Banach spaces
Jung, JS
Kim, SS
[J]. PROCEEDINGS OF THE SECOND ASIAN MATHEMATICAL CONFERENCE 1995, 1998, : 30 - 33
[4] Strong convergence theorems for multivalued nonexpansive nonself-mappings in Banach spaces
Jung, Jong Soo
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 66 (11) : 2345 - 2354
[5] Strong convergence of approximants to fixed points of nonexpansive nonself-mappings in Banach spaces
Takahashi, W
Kim, GE
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1998, 32 (03) : 447 - 454
[6] STRONG CONVERGENCE THEOREMS OF AVERAGING ITERATIONS OF NONEXPANSIVE NONSELF-MAPPINGS IN BANACH SPACES
Ceng, Lu-Chuan
Petrusel, Adrian
Yao, Jen-Chih
[J]. FIXED POINT THEORY, 2007, 8 (02): : 219 - 236
[7] Strong convergence of Cesaro mean iterations for nonexpansive nonself-mappings in Banach spaces
Wangkeeree, Rabian
[J]. FIXED POINT THEORY AND APPLICATIONS, 2007, 2007 (1)
[8] Strong convergence theorems for two total asymptotically nonexpansive nonself mappings in Banach spaces
Kiziltunc, Hukmi
Yolacan, Esra
[J]. FIXED POINT THEORY AND APPLICATIONS, 2013,
[9] Strong convergence theorems for two total asymptotically nonexpansive nonself mappings in Banach spaces
Hukmi Kiziltunc
Esra Yolacan
[J]. Fixed Point Theory and Applications, 2013
[10] Strong Convergence of Cesàro Mean Iterations for Nonexpansive Nonself-Mappings in Banach Spaces
Rabian Wangkeeree
[J]. Fixed Point Theory and Applications, 2007

← 1 2 3 4 5 →