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Extrapolated sequential constraint method for variational inequality over the intersection of fixed-point sets
- Source :
- Numerical Algorithms. 88:1051-1075
- Publication Year :
- 2021
- Publisher :
- Springer Science and Business Media LLC, 2021.
-
Abstract
- This paper deals with the solving of variational inequality problem where the constrained set is given as the intersection of a number of fixed-point sets. To this end, we present an extrapolated sequential constraint method. At each iteration, the proposed method is updated based on the ideas of a hybrid conjugate gradient method used to accelerate the well-known hybrid steepest descent method, and an extrapolated cyclic cutter method for solving a common fixed point problem. We prove strong convergence of the method under some suitable assumptions of step-size sequences. We finally show the numerical efficiency of the proposed method compared to some existing methods.
- Subjects :
- Applied Mathematics
Numerical analysis
MathematicsofComputing_NUMERICALANALYSIS
Fixed point
Constraint (information theory)
Intersection
Optimization and Control (math.OC)
Conjugate gradient method
Convergence (routing)
Variational inequality
FOS: Mathematics
Method of steepest descent
Applied mathematics
Mathematics - Optimization and Control
Mathematics
Subjects
Details
- ISSN :
- 15729265 and 10171398
- Volume :
- 88
- Database :
- OpenAIRE
- Journal :
- Numerical Algorithms
- Accession number :
- edsair.doi.dedup.....b851bb868b36b3c4919c7ab9e2017a29