In this paper, we extend the auxiliary principle technique to study a class of generalized set-valued strongly nonlinear mixed variational-like inequalities. We prove the existence of a solution of the auxiliary problem for the generalized set-valued strongly nonlinear mixed variational-like inequal
Auxiliary Principle for Generalized Mixed Variational-Like Inequalities
โ Scribed by Muhammad Aslam Noor
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 173 KB
- Volume
- 215
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
โฆ Synopsis
In this paper, we use the auxiliary principle technique to prove the existence of a solution of some new classes of variational inequalities, which are called the generalized mixed variational-like inequalities. This technique is used to analyze an iterative algorithm. Several special cases, which can be obtained from our main result, are also discussed.
๐ SIMILAR VOLUMES
In this paper, we use the auxiliary principle technique to suggest a new class of predictor-corrector algorithms for solving multivalued general mixed variational inequalities. The convergence of the proposed method only requires the partially relaxed strong monotonicity of the operator, which is we
In this paper, we suggest and consider a class of new three-step approximation schemes for general variational inequalities. Our results include Ishikawa and Mann iterations as special cases. We also study the convergence criteria of these schemes.