WEAK AND STRONG CONVERGENCE THEOREMS OF A MANN-TYPE ITERATIVE ALGORITHM FOR k-STRICT PSEUDO-CONTRACTIONS

被引：4

作者：

Cho, Yeol Je ^{[1
,2
]}

Kang, Jung Im ^{[3
]}

Qin, Xiaolong ^{[1
,2
]}

Shang, Meijuan ^{[4
]}

机构：

[1] Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea

[2] Gyeongsang Natl Univ, RINS, Chinju 660701, South Korea

[3] Natl Inst Math Sci, Taejon 305340, South Korea

[4] Shijiazhuang Univ, Dept Math, Shijiazhuang 050035, Peoples R China

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2010年 / 14卷 / 04期

关键词：

Nonexpansive mapping; Strict pseudo-contraction; Hilbert space; Fixed point; HILBERT-SPACES; FIXED-POINTS; BANACH-SPACES; NONEXPANSIVE-MAPPINGS; APPROXIMATION;

D O I：

10.11650/twjm/1500405959

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider a Mann-type iterative algorithm for nonself strict pseudo-contractions. Weak and strong convergence theorems are established in the framework of Hilbert spaces. The results presented in this paper improve and extend the results announced by many others.

引用

页码：1439 / 1455

页数：17

共 50 条

[41] Strong Convergence Theorems for Equilibrium Problems and k-Strict Pseudocontractions in Hilbert Spaces
Wen, Dao-Jun
[J]. ABSTRACT AND APPLIED ANALYSIS, 2011,
[42] Strong convergence theorems of a general iterative process for a finite family of λi-strict pseudo-contractions in q-uniformly smooth Banach spaces
Cai, Gang
Hu, Chang Song
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (01) : 149 - 160
[43] Strong convergence theorems by hybrid method for asymptotically k-strict pseudo-contractive mapping in Hilbert space
Inchan, Issara
Nammanee, Kamonrat
[J]. NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2009, 3 (04) : 380 - 385
[44] Strong convergence of some algorithms for lambda-strict pseudo-contractions in Banach spaces
Wen, Meng
Peng, Jigen
Hu, Changsong
[J]. AFRIKA MATEMATIKA, 2016, 27 (3-4) : 491 - 500
[45] Strong convergence theorems for a family of quasi-asymptotic pseudo-contractions in Hilbert spaces
Zhou, Haiyun
Su, Yongfu
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (11) : 4047 - 4052
[46] A general iterative algorithm for system of equilibrium problems and infinitely many strict pseudo-contractions
Duan, Peichao
Zhao, Jing
[J]. WSEAS Transactions on Mathematics, 2012, 11 (12) : 1137 - 1146
[47] Strong Convergence Theorems for a Common Fixed Point of a Family of Asymptotically k-Strict Pseudocontractive Mappings
Zegeye, H.
Shahzad, N.
[J]. ABSTRACT AND APPLIED ANALYSIS, 2013,
[48] Modified inertial Mann's algorithm and inertial hybrid algorithm for k-strict pseudo-contractive mappings
Baiya, Suparat
Ungchittrakool, Kasamsuk
[J]. CARPATHIAN JOURNAL OF MATHEMATICS, 2023, 39 (01) : 27 - 43
[49] Strong convergence theorem for a generalized equilibrium problem and system of variational inequalities problem and infinite family of strict pseudo-contractions
Kangtunyakarn, Atid
[J]. FIXED POINT THEORY AND APPLICATIONS, 2011,
[50] Strong convergence theorem for a generalized equilibrium problem and system of variational inequalities problem and infinite family of strict pseudo-contractions
Atid Kangtunyakarn
[J]. Fixed Point Theory and Applications, 2011

← 1 2 3 4 5 →