A predictor-corrector algorithm for general variational inequalities
โ Scribed by M.A. Noor
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 368 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
โฆ Synopsis
In this paper, we suggest a new predictor-corrector algorithm for solving general variational inequalities by using the auxiliary principle technique. The convergence of the proposed method only requires the partially relaxed strong monotonicity of the operator, which is weaker than co-coercivity. As special cases, we obtain a number of known and new results for solving various classes of variational inequalities. (~) 2000 Elsevier Science Ltd. All rights reserved.
๐ SIMILAR VOLUMES
In this work, we suggest and analyze an extragradient method for solving general nonconvex variational inequalities using the technique of the projection operator. We prove that the convergence of the extragradient method requires only pseudomonotonicity, which is a weaker condition than requiring m
## It is well known [I] that the general mixed quasi-variational inequalities are equivalent to the implicit resolvent equations. In this paper, we use this alternative formulation to suggest and analyze a modified resolvent algorithm for solving general mixed quasi-variational inequalities. It i