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-co
Iterative methods for generalized nonlinear variational inequalities
โ Scribed by M.Aslam Noor; E.A. Al-Said
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 619 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0898-1221
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โฆ Synopsis
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 convergence analysis of the proposed algorithms. As a special case, we obtain various known results from our results.
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