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Generalized variational-like inequalities with pseudomonotone set-valued mappings

โœ Scribed by Xie Ping Ding; E. Tarafdar


Publisher
Springer
Year
2000
Tongue
English
Weight
108 KB
Volume
74
Category
Article
ISSN
0003-889X

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Generalized variational-like inequalitie
โœ Mohammad S.R. Chowdhury; H.B. Thompson ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 137 KB

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.

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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