SHEN Jinliang,YE Jingni,HUANG Jianhua.Equilibrium problems and the viscosity approximation problems for the implicit midpoint rule of nonexpansive mappings[J].Journal of Yanbian University,2020,46(01):1-7.
非扩张映射隐中点黏性迭代序列的逼近问题和均衡问题
- Title:
- Equilibrium problems and the viscosity approximation problems for the implicit midpoint rule of nonexpansive mappings
- 文章编号:
- 1004-4353(2020)01-0001-07
- Keywords:
- viscosity approximation; implicit midpoint rule iteration; nonexpansive mappings; Hilbert space
- 分类号:
- O177.91
- 文献标志码:
- A
- 摘要:
- 利用黏性逼近方法构造了一种新的非扩张映射隐中点迭代序列,在Hilbert空间研究了此序列的均衡问题与不动点问题,并在适当条件下证明了此序列是强收敛于非扩张映射的特殊不动点.
- Abstract:
- In this paper, we construct a new iteration for the implicit midpoint rule with viscosity technique, and study equilibrium problems and fixed point problems of nonexpansive mappings in Hilbert spaces. We prove that the suggested method converges strongly to a special fixed points of nonexpansive mappings under some conditions.
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备注/Memo
收稿日期: 2020-02-10
作者简介: 沈金良(1982—),男,讲师,研究方向为非线性分析.