In this paper, we establish the equivalence between the generalized nonlinear variational inequalities and the generalized Wiener-Hopf equations. This equivalence is used to suggest and analyze a number of iterative algorithms for solving generalized variational inequalities. We also discuss the con
Iterative methods for generalized variational inequalities
โ Scribed by M.A. Noor
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 392 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0893-9659
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โฆ Synopsis
this paper, we use the auxiliary principle technique to suggest a new &ass of predictor-corrector algorithms for solving generalized variational inequalities.
The convergence of the proposed method only requires the partially relaxed strongly monotonicity of the operator, which is weaker than co-coercivity.
As special cases, we obtain a number of known and new results for solving va,rious classes of variational inequalities.
๐ SIMILAR VOLUMES
An iterative method for solving general mixed variational inequalities is suggested by using the auxiliary principle technique. The convergence of the proposed method only requires the partially relaxed strongly monotonicity of the operator, which is weaker than co-coercivity. As special cases, we o
In this paper, we suggest and analyze some new extragradient iterative methods for finding the common element of the fixed points of a nonexpansive mapping and the solution set of the variational inequality for an inverse strongly monotone mapping in a Hilbert space. We also consider the strong conv