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- Title
Iterative method with inertial for variational inequalities in Hilbert spaces.
- Authors
Shehu, Yekini; Cholamjiak, Prasit
- Abstract
Strong convergence property for Halpern-type iterative method with inertial terms for solving variational inequalities in real Hilbert spaces is investigated under mild assumptions in this paper. Our proposed method requires only one projection onto the feasible set per iteration, the underline operator is monotone and uniformly continuous which is more applicable than most existing methods for which strong convergence is achieved and our method includes the inertial extrapolation step which is believed to increase the rate of convergence. Numerical comparisons of our proposed method with some other related methods in the literature are given.
- Subjects
HILBERT space; ITERATIVE methods (Mathematics); VARIATIONAL inequalities (Mathematics); OPERATOR theory; STOCHASTIC convergence; NUMERICAL analysis
- Publication
Calcolo, 2019, Vol 56, Issue 1, p1
- ISSN
0008-0624
- Publication type
Article
- DOI
10.1007/s10092-018-0300-5