Convergence analysis of an iterative scheme for Lipschitzian hemicontractive mappings in Hilbert spaces

被引：17

作者：

Kang, Shin Min ^{[1
,2
]}

Rafiq, Arif ^{[3
]}

Lee, Sunhong ^{[1
,2
]}

机构：

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

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

[3] Hajvery Univ, Sch CS & Math, Ind Area 43 52, Lahore 54660, Pakistan

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2013年

关键词：

iterative scheme; Lipschitzian mappings; hemicontractive mappings; Hilbert spaces; FIXED-POINTS; BANACH-SPACES;

D O I：

10.1186/1029-242X-2013-132

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish strong convergence for the iterative scheme introduced by Sahu and PetruAYel associated with Lipschitzian hemicontractive mappings in Hilbert spaces. MSC: 47H10, 47J25.

引用

页码：1 / 5

页数：5

共 6 条

[1] Browder F.E., 1976, Nonlinear Functional Analysis
[2] CONSTRUCTION OF FIXED POINTS OF NONLINEAR MAPPINGS IN HILBERT SPACE
BROWDER, FE
PETRYSHY.WV
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1967, 20 (02) : 197 - &
[3] FIXED-POINTS BY A NEW ITERATION METHOD
ISHIKAWA, S
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 44 (01) : 147 - 150
[4] Liu ZQ, 2007, TAIWAN J MATH, V11, P27
[5] Strong convergence of iterative methods by strictly pseudocontractive mappings in Banach spaces
Sahu, D. R.
Petrusel, Adrian
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (17) : 6012 - 6023
[6] INEQUALITIES IN BANACH-SPACES WITH APPLICATIONS
XU, HK
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1991, 16 (12) : 1127 - 1138

← 1 →