Back to Search
Start Over
On the weak and strong convergence of the proximal point algorithm in reflexive Banach spaces.
- Source :
- Optimization; Sep2017, Vol. 66 Issue 9, p1487-1494, 8p
- Publication Year :
- 2017
-
Abstract
- In this paper, some proximal point algorithms (PPAs) for maximal monotone operators in Banach spaces are considered. We obtain some results on the boundedness and the convergence of sequences generated by the PPAs with some assumptions. We can also get zero of maximal-expansive operator and maximal-monotone at zero operator using this method and then we apply it for finding a solution of the equilibrium problem. [ABSTRACT FROM AUTHOR]
- Subjects :
- ALGORITHMS
BANACH spaces
MONOTONE operators
MATHEMATICAL optimization
EQUILIBRIUM
Subjects
Details
- Language :
- English
- ISSN :
- 02331934
- Volume :
- 66
- Issue :
- 9
- Database :
- Complementary Index
- Journal :
- Optimization
- Publication Type :
- Academic Journal
- Accession number :
- 123791179
- Full Text :
- https://doi.org/10.1080/02331934.2017.1337764