WENG Shengquan,WU Dingping.Convergence of Modified Proximal Point Algorithms for Hybrid Pair of Nonexpansive Mappings in CAT(0)Spaces[J].Journal of Chengdu University of Information Technology,2019,(02):204-208.[doi:10.16836/j.cnki.jcuit.2019.02.016]
CAT(0)空间混合非扩张映射修正临近点算法的收敛性
- Title:
- Convergence of Modified Proximal Point Algorithms for Hybrid Pair of Nonexpansive Mappings in CAT(0)Spaces
- 文章编号:
- 2096-1618(2019)02-0204-05
- Keywords:
- CAT(0)space; proximal point algorithm; single-valued nonexpansive mapping; multi-valued nonexpansive mapping; resolvent identity
- 分类号:
- O177.91
- 文献标志码:
- A
- 摘要:
- 提出了一种修正的临近点算法,来寻找单值非扩张映射、集值非扩张映射不动点点集以及凸下半连续泛函极小元集的公共元,获得了所提出算法的收敛性。
- Abstract:
- In this paper, we propose a modied proximal point algorithm for finding a common element of the set of fixed points of a single-valued nonexpansive mapping, the set of fixed points of a multivalued nonexpansive mapping, and the set of minimizers of convex and lower semicontinuous functions.We obtain the strong convergence to a common element of three sets in CAT(0)spaces.
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备注/Memo
Received date:2018-01-27 Foundation item:Project Supported by the National Natural Science Foundation of China(11171046)