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Regularized gradient-projection methods for the constrained convex minimization problem and the zero points of maximal monotone operator.
- Source :
- Fixed Point Theory & Applications; 9/27/2015, Vol. 2015 Issue 1, p1-23, 23p
- Publication Year :
- 2015
-
Abstract
- In this paper, based on the viscosity approximation method and the regularized gradient-projection algorithm, we find a common element of the solution set of a constrained convex minimization problem and the set of zero points of the maximal monotone operator problem. In particular, the set of zero points of the maximal monotone operator problem can be transformed into the equilibrium problem. Under suitable conditions, new strong convergence theorems are obtained, which are useful in nonlinear analysis and optimization. As an application, we apply our algorithm to solving the split feasibility problem and the constrained convex minimization problem in Hilbert spaces. [ABSTRACT FROM AUTHOR]
- Subjects :
- HILBERT space
MONOTONE operators
OPERATOR theory
VISCOELASTICITY
MECHANICAL drawing
Subjects
Details
- Language :
- English
- ISSN :
- 16871820
- Volume :
- 2015
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Fixed Point Theory & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 109966243
- Full Text :
- https://doi.org/10.1186/s13663-015-0258-9