✦ LIBER ✦

Feasibility and solvability of vector variational inequalities with moving cones in Banach spaces

✍ Scribed by Ya-ping Fang; Nan-jing Huang

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 603 KB
Volume: 70
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2008.02.100

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✦ Synopsis

In this paper we study the feasibility and solvability of vector variational inequalities with moving cones in Banach spaces. We show that the strict feasibility implies solvability of vector variational inequalities with moving cones under suitable conditions. Further we show that under suitable conditions, the homogeneous vector variational inequality with a moving cone is solvable whenever it is feasible. As consequences, we obtain the solvability of vector variational inequalities with feasibility assumptions in Banach spaces.

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