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Existence of solutions for generalized vector quasi-variational-like inequalities without monotonicity

โœ Scribed by Xiao Gang; Sanyang Liu


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
533 KB
Volume
58
Category
Article
ISSN
0898-1221

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โœฆ Synopsis


C-diagonal quasiconvexity 0-diagonally convex a b s t r a c t

In this paper, we introduce and study four kinds of generalized vector quasi-variational-like inequalities without monotonicity or pseudomonotonicity in Hausdorff topological vector spaces. By means of fixed point theorem, we obtain some existence theorems of solutions for four kinds of generalized vector quasi-variational-like inequalities.


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โœ Zhi Lin ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 318 KB

In this paper, we introduce the system of generalized vector quasi-variational-like inequalities, and establish the existence result of its solutions. As a special case, we also derive the existence result of solutions for the generalized vector quasi-variational-like inequality.