Iterative methods for k-strict pseudo-contractive mappings in Hilbert spaces

被引：0

作者：

Yao, Yonghong ^{[1
]}

Liou, Yeong-Cheng ^{[2
]}

Kang, Shin Min ^{[3
,4
]}

机构：

[1] Tianjin Polytech Univ, Dept Math, Tianjin 300160, Peoples R China

[2] Cheng Shiu Univ, Dept Informat Management, Kaohsiung 833, Taiwan

[3] Gyeongsang Natl Univ, Dept Math, Jinju 660701, South Korea

[4] Gyeongsang Natl Univ, RINS, Jinju 660701, South Korea

来源：

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA | 2011年 / 19卷 / 01期

关键词：

Fixed point; strict pseudo-contractive mapping; iterative method; strong convergence; Hilbert space; COMMON FIXED-POINTS; STRONG-CONVERGENCE THEOREMS; NONEXPANSIVE-MAPPINGS; FINITE FAMILY; NONLINEAR MAPPINGS; APPROXIMATION; SEQUENCES; WEAK;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate two iterative methods for k-strict pseudo-contractive mappings in a real Hilbert space. We prove that the proposed iterative algorithms converge strongly to some fixed point of a strict pseudo-contractive mapping.

引用

页码：313 / 330

页数：18

共 50 条

[1] Strong convergence of iterative methods for k-strictly pseudo-contractive mappings in Hilbert spaces
Jung, Jong Soo
APPLIED MATHEMATICS AND COMPUTATION, 2010, 215 (10) : 3746 - 3753
[2] AN ITERATIVE SCHEME FOR EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS OF ASYMPTOTICALLY k-STRICT PSEUDO-CONTRACTIVE MAPPINGS
Wang, Ziming
Su, Yongfu
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2010, 25 (01): : 69 - 82
[3] STRONG CONVERGENCE OF AN ITERATIVE ALGORITHM FOR λ-STRICTLY PSEUDO-CONTRACTIVE MAPPINGS IN HILBERT SPACES
Li, Mengqin
Yao, Yonghong
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2010, 18 (01): : 219 - 228
[4] ITERATIVE METHODS FOR STRICTLY PSEUDO-CONTRACTIVE MAPPINGS
Yang, Liu
Yan, Hao
MEASUREMENT TECHNOLOGY AND ENGINEERING RESEARCHES IN INDUSTRY, PTS 1-3, 2013, 333-335 : 1402 - +
[5] SPLIT FEASIBILITY AND FIXED POINT PROBLEMS FOR ASYMPTOTICALLY k-STRICT PSEUDO-CONTRACTIVE MAPPINGS IN INTERMEDIATE SENSE
Ansari, Qamrul Hasan
Rehan, Aisha
Yao, Jen-Chih
FIXED POINT THEORY, 2017, 18 (01): : 57 - 68
[6] Modified inertial Mann's algorithm and inertial hybrid algorithm for k-strict pseudo-contractive mappings
Baiya, Suparat
Ungchittrakool, Kasamsuk
CARPATHIAN JOURNAL OF MATHEMATICS, 2023, 39 (01) : 27 - 43
[7] Strong convergence theorems by hybrid method for asymptotically k-strict pseudo-contractive mapping in Hilbert space
Inchan, Issara
Nammanee, Kamonrat
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2009, 3 (04) : 380 - 385
[8] Some results on k-strictly pseudo-contractive mappings in Hilbert spaces
Cho, Yeol Je
Kang, Shin Min
Qin, Xiaolong
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (05) : 1956 - 1964
[9] Strong convergence theorem for pseudo-contractive mappings in Hilbert spaces
Tang, Yu-Chao
Peng, Ji-Gen
Liu, Li-Wei
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (02) : 380 - 385
[10] THE MODIFIED MANN ITERATION METHODS FOR AN ASYMPTOTICALLY STRICT PSEUDO-CONTRACTIVE FAMILY IN HILBERT SPACES
Kim, Kui-Yeon
Kim, Tae-Hwa
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2011, 12 (03) : 577 - 597

← 1 2 3 4 5 →