FIXED POINT THEOREMS FOR NEW GENERALIZED HYBRID MAPPINGS IN HILBERT SPACES AND APPLICATIONS

被引：10

作者：

Takahashi, Wataru ^{[1
,2
]}

Wong, Ngai-Ching ^{[2
,3
]}

Yao, Jen-Chih ^{[3
,4
]}

机构：

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

[2] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan

[3] Kaohsiung Med Univ, Ctr Fundamental Sci, Kaohsiung 80702, Taiwan

[4] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2013年 / 17卷 / 05期

基金：

日本学术振兴会;

关键词：

Banach limit; Contractive mapping; Fixed point; Hybrid mapping; Hilbert space; Nonspreading mapping; NONLINEAR ERGODIC THEOREM; NONEXPANSIVE-MAPPINGS; CONVERGENCE THEOREMS; SEMIGROUP; OPERATORS;

D O I：

10.11650/tjm.17.2013.2921

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce a broad class of nonlinear mappings in a Hilbert space which covers nonexpansive mappings, nonspreading mappings, hybrid mappings and contractive mappings. Then we prove fixed point theorems for the class of such mappings. Using these results, we prove well-known and new fixed point theorems in a Hilbert space.

引用

页码：1597 / 1611

页数：15