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An efficient projection-type method for monotone variational inequalities in Hilbert spaces.
- Source :
-
Numerical Algorithms . May2020, Vol. 84 Issue 1, p365-388. 24p. - Publication Year :
- 2020
-
Abstract
- We consider the monotone variational inequality problem in a Hilbert space and describe a projection-type method with inertial terms under the following properties: (a) The method generates a strongly convergent iteration sequence; (b) The method requires, at each iteration, only one projection onto the feasible set and two evaluations of the operator; (c) The method is designed for variational inequality for which the underline operator is monotone and uniformly continuous; (d) The method includes an inertial term. The latter is also shown to speed up the convergence in our numerical results. A comparison with some related methods is given and indicates that the new method is promising. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10171398
- Volume :
- 84
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Numerical Algorithms
- Publication Type :
- Academic Journal
- Accession number :
- 142828072
- Full Text :
- https://doi.org/10.1007/s11075-019-00758-y