๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On generalized variational-like inequalities with generalized monotone multivalued mappings

โœ Scribed by L.C. Ceng; J.C. Yao

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
453 KB
Volume
22
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.

โœฆ Synopsis

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 multivalued mappings in E.

๐Ÿ“œ SIMILAR VOLUMES

Generalized nonlinear variational inequa
Generalized nonlinear variational inequalities with nonmonotone setvalued mappings
โœ X.-P. Ding; E. Tarafdar ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 519 KB

In this paper, we study a new class of generalized nonlinear variational inequality problem GNVIP(F, g, b, K) in locally convex Hausdorff topological vector spaces. Several existence theorems of solutions for GNVIP (F, g, b, K) with nonmonotone type set-valued mappings F are proved.

Generalized Quasi-variational Inequaliti
Generalized Quasi-variational Inequalities on Non-compact Sets with Pseudo-monotone Operators
โœ Abdelkhalek El Arni ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 102 KB

In this paper we first generalize a Ky Fan minimax inequality. Then we obtain two foundational quasi-variational inequalities which play a key role throughout this paper. We shall use these results to obtain some general theorems on solutions ลฝ . of the generalized quasi-variational inequalities GQV