๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Generalized nonlinear variational inequalities with nonmonotone setvalued mappings

โœ Scribed by X.-P. Ding; E. Tarafdar

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
519 KB
Volume
7
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.

โœฆ Synopsis

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.

๐Ÿ“œ SIMILAR VOLUMES

On generalized variational-like inequali
On generalized variational-like inequalities with generalized monotone multivalued mappings
โœ L.C. Ceng; J.C. Yao ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 453 KB

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