GENERALIZED HYBRID MAPPINGS IN HILBERT SPACES AND BANACH SPACES

被引：16
作者：
Hsu, Ming-Hsiu [2 ]
Takahashi, Wataru [2 ,3 ]
Yao, Jen-Chih [1 ]
机构：
[1] Kaohsiung Med Univ, Ctr Gen Educ, Kaohsiung 80707, Taiwan
[2] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan
[3] Tokyo Inst Technol, Dept Math & Comp Sci, Tokyo 1528552, Japan
来源：
TAIWANESE JOURNAL OF MATHEMATICS | 2012年 / 16卷 / 01期
基金：
日本学术振兴会;
关键词：
Hilbert space; Banach space; Nonexpansive mapping; Nonspreading mapping; Hybrid mapping; Fixed point; FIXED-POINT THEOREMS; MAXIMAL MONOTONE-OPERATORS; WEAK-CONVERGENCE THEOREMS; NONEXPANSIVE-MAPPINGS; NONLINEAR MAPPINGS;
D O I：
10.11650/twjm/1500406532
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we deal with a broad class of nonlinear mappings in a Hilbert space and a Banach space called generalized hybrid which contains the classes of nonexpansive mappings, nonspreading mappings, and hybrid mappings. Then, we prove fixed point theorems for these nonlinear mappings in a Hilbert space and a Banach space. Furthermore, we obtain duality theorems for nonlinear mappings in a Banach space.
引用
收藏
页码：129 / 149
页数：21
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