Strong Convergence of the Iterations of Quasi φ-nonexpansive Mappings and its Applications in Banach Spaces

被引：0

作者：

Jahed, Rasoul ^{[1
]}

Vaezi, Hamid ^{[1
,2
]}

Piri, Hossein ^{[3
]}

机构：

[1] Islamic Azad Univ, Dept Math, Sarab Branch, Sarab, Iran

[2] Univ Tabriz, Dept Math, Fac Math Sci, Tabriz, Iran

[3] Univ Bonab, Dept Math, Bonab, Iran

来源：

SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS | 2020年 / 17卷 / 03期

关键词：

Demiclosed; Equilibrium problem; Fixed point; Hybrid projection; Quasi nonexpansive mapping; Resolvent; EQUILIBRIUM PROBLEMS; OPERATORS;

D O I：

10.22130/scma.2019.115400.687

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the iterations of quasi phi-nonexpansive mappings and its applications in Banach spaces. At the first, we prove strong convergence of the sequence generated by the hybrid proximal point method to a common fixed point of a family of quasi phi-nonexpansive mappings. Then, we give applications of our main results in equilibrium problems.

引用

页码：71 / 80

页数：10

共 50 条

[1] Strong convergence of Halpern iterations for quasi-nonexpansive mappings and accretive operators in Banach spaces
Pang, Chin-Tzong
Naraghirad, Eskandar
[J]. FIXED POINT THEORY AND APPLICATIONS, 2013,
[2] Strong convergence of Halpern iterations for quasi-nonexpansive mappings and accretive operators in Banach spaces
Chin-Tzong Pang
Eskandar Naraghirad
[J]. Fixed Point Theory and Applications, 2013
[3] THE ITERATIONS OF STRONGLY QUASI φ-NONEXPANSIVE MAPPINGS IN BANACH SPACES
Jahed, Rasoul
Vaezi, Hamid
Piri, Hossein
[J]. JOURNAL OF MATHEMATICAL ANALYSIS, 2021, 12 (03): : 23 - 37
[4] WEAK AND STRONG CONVERGENCE FOR QUASI-NONEXPANSIVE MAPPINGS IN BANACH SPACES
Kim, Gang Eun
[J]. BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2012, 49 (04) : 799 - 813
[5] 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
[6] Strong convergence of Cesaro mean iterations for nonexpansive nonself-mappings in Banach spaces
Wangkeeree, Rabian
[J]. FIXED POINT THEORY AND APPLICATIONS, 2007, 2007 (1)
[7] Strong convergence theorems for relatively nonexpansive mappings in Banach spaces with applications
Li, Xi
Huang, Nan-jing
O'Regan, Donal
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 60 (05) : 1322 - 1331
[8] Strong convergence theorems by Halpern-Mann iterations for relatively nonexpansive mappings in Banach spaces
Nilsrakoo, Weerayuth
Saejung, Satit
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (14) : 6577 - 6586
[9] Strong convergence theorems for three-steps iterations for asymptotically nonexpansive mappings in Banach spaces
An, Cui Yun
Fei, Zuo Zhan
Hudzik, Henryk
[J]. FIXED POINT THEORY AND APPLICATIONS, 2013,
[10] Strong convergence theorems for three-steps iterations for asymptotically nonexpansive mappings in Banach spaces
Cui Yun An
Zuo Zhan Fei
Henryk Hudzik
[J]. Fixed Point Theory and Applications, 2013

← 1 2 3 4 5 →