TWO GENERALIZED STRONG CONVERGENCE THEOREMS OF HALPERN'S TYPE IN HILBERT SPACES AND APPLICATIONS

被引：64

作者：

Takahashi, Wataru ^{[2
]}

Wong, Ngai-Ching ^{[1
]}

Yao, Jen-Chih ^{[3
]}

机构：

[1] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 804, Taiwan

[2] Tokyo Inst Technol, Dept Math & Comp Sci, Tokyo 1528552, Japan

[3] Kaohsiung Med Univ, Ctr Gen Educ, Kaohsiung 807, Taiwan

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2012年 / 16卷 / 03期

关键词：

Maximal monotone operator; Inverse-strongly monotone mapping; Zero point; Fixed point; Strong convergence theorem; Equilibrium problem; STRICT PSEUDO-CONTRACTIONS; NONEXPANSIVE-MAPPINGS; FIXED-POINTS; WEAK-CONVERGENCE; EQUILIBRIUM PROBLEMS; HYBRID MAPPINGS; APPROXIMATION; SEQUENCES; OPERATORS;

D O I：

10.11650/twjm/1500406684

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let C be a closed convex subset of a real Hilbert space H. Let A be an inverse-strongly monotone mapping of C into H and let B be a maximal monotone operator on H such that the domain of B is included in C. We introduce two iteration schemes of finding a point of (A + B)(-1) 0, where (A + B)(-1) 0 is the set of zero points of A+B. Then, we prove two strong convergence theorems of Halpern's type in a Hilbert space. Using these results, we get new and well-known strong convergence theorems in a Hilbert space.

引用

页码：1151 / 1172

页数：22

共 29 条

[1]

Aoyama K., 2007, SCI MATH JPN, V66, P89

[2]

Aoyama K, 2008, J CONVEX ANAL, V15, P395

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