We introduce the class of generalized ฮฑ-monotone multifunctions T : K โ 2 E \* with respect to ฮจ and A where ฮฑ : E ร E โ R. By using the KKM technique and the concept of the Hausdorff metric, we establish some existence results for generalized variational-like inequalities with generalized monotone
Generalized variational-like inequalities
โ Scribed by M.Aslam Noor
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 850 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0895-7177
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โฆ Synopsis
In this paper, we introduce a new class of variational-like inequalities. We use the auxiliary principfe technique to prove the existence of a solution of the genera&& ~iational-Iike inequalities and suggest an iterative algorithm.
๐ SIMILAR VOLUMES
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.
For generalized variational-like inequalities, by combining the auxiliary principle technique with the bundle idea for nonconvex nonsmooth minimization, we present an implementable iterative method. To make the subproblem easier to solve, even though the preinvex function may not be convex, we still