Bregman拟严格伪压缩与均衡问题的强收敛定理及其应用  

Strong Convergence Theorems for Bregman Quasi-strict Pseudo-contractions Mapping and Equilibrium Problems with Applications

作　　者：朱胜[1] 黄建华[2] ZHU Sheng;HUANG Jianhua(College of Jinshan,Fujian Agriculture and Forest University,Fuzhou, Fujian 350002, China;College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350116, China)

机构地区：[1]福建农林大学金山学院,福建福州350002 [2]福州大学数学与计算机科学学院,福建福州350116

出　　处：《闽江学院学报》2019年第2期1-9,共9页Journal of Minjiang University

基　　金：福建省中青年教师教育科研项目(JAT170889)

摘　　要：在自反的Banach空间中,针对均衡问题和Bregman拟严格伪压缩映射的不动点问题的公共解,引入一种迭代算法,在适当的条件下,得到强收敛定理。所得的结果可以应用到变分不等式问题,凸可行问题与极大单调算子的零点问题上。This paper proposes a iterative scheme for finding a common solution to equilibrium problem and fixed point of Bregman quasi-strict pseudo-contractions mapping in reflexive real Banach spaces. Moreover,we prove some strong convergence theorems under suitable control conditions and apply the results to the problems of variational inequality, zero point problem of maximal monotone operators and convex feasibility.

关 键 词：Bregman拟严格伪压缩映射 不动点问题 均衡问题 预解算子 

分 类 号：O177.91[理学—数学]