THE SHRINKING PROJECTION METHOD FOR A FINITE FAMILY OF DEMIMETRIC MAPPINGS WITH VARIATIONAL INEQUALITY PROBLEMS IN A HILBERT SPACE

被引：145
作者：
Takahashi, Wataru [1 ,2 ,3 ,4 ]
Wen, Ching-Feng
Yao, Jen-Chih [5 ,6 ]
机构：
[1] Kaohsiung Med Univ, Ctr Fundamental Sci, Kaohsiung 80708, Taiwan
[2] Kaohsiung Med Univ, Res Ctr Nonlinear Anal & Optimizat, Kaohsiung 80708, Taiwan
[3] Keio Univ, Keio Res & Educ Ctr Nat Sci, Kouhoku Ku, Yokohama, Kanagawa 2238521, Japan
[4] Tokyo Inst Technol, Dept Math & Comp Sci, Meguro Ku, Tokyo 1528552, Japan
[5] China Med Univ, Ctr Gen Educ, Taichung 40402, Taiwan
[6] King Abdulaziz Univ, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia
来源：
FIXED POINT THEORY | 2018年 / 19卷 / 01期
基金：
日本学术振兴会;
关键词：
Fixed point; demimetric mapping; inverse strongly monotone mapping; shrinking projection method; variational inequality problem; STRONG-CONVERGENCE THEOREMS; FIXED-POINT THEOREMS; NONLINEAR MAPPINGS; NONEXPANSIVE-MAPPINGS; MONOTONE MAPPINGS; HYBRID MAPPINGS; WEAK;
D O I：
10.24193/fpt-ro.2018.1.32
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, using a new nonlinear mapping called demimetric and the shrinking projection method, we prove a strong convergence theorem for finding a common element of the set of common fixed points for a finite family of these new demimetric mappings and the set of common solutions of variational inequality problems for a finite family of inverse strongly monotone mappings in a Hilbert space. Using the result, we obtain well-known and new strong convergence theorems in a Hilbert space.
引用
收藏
页码：407 / 419
页数：13
相关论文
共 19 条
12