๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Iterative methods for generalized variational inequalities

โœ Scribed by M.A. Noor


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
392 KB
Volume
15
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.

โœฆ 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.


๐Ÿ“œ SIMILAR VOLUMES


Iterative methods for generalized nonlin
โœ M.Aslam Noor; E.A. Al-Said ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 619 KB

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

An iterative method for general mixed va
โœ M.A. Noor ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 364 KB

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

Some new extragradient iterative methods
โœ Abdellah Bnouhachem; Muhammad Aslam Noor; Zhang Hao ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 490 KB

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