Modified projection method for pseudomonotone variational inequalities
โ Scribed by M.A. Noor
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 340 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
โฆ Synopsis
We consider and analyze a new projection method for solving pseudomonotone variational inequalities by modifying the extragradient method. The modified method converges for pseudomonotone Lipschitz continuous operators, which is a much weaker condition than monotonicity. The new iterative method differs from the existing projection methods. Our proof of convergence is very simple as compared with other methods.
๐ SIMILAR VOLUMES
We prove the existence of solutions of densely pseudomonotone variational inequalities. Some particular cases in reflexive Banach spaces are presented which include several previously known results. New conditions are derived for monotone and densely pseudomonotone variational inequalities using the
In this paper, we shall prove some existence results of solutions for a new class of generalized variational-like inequalities with ( , h)-pseudomonotone type II operators defined on noncompact sets in Hausdorff topological vector spaces.