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Minty’s lemma and vector variational-like inequalities

✍ Scribed by M. Chinaie; T. Jabarootian; M. Rezaie; J. Zafarani

Publisher
Springer US
Year
2007
Tongue
English
Weight
168 KB
Volume
40
Category
Article
ISSN
0925-5001

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This paper is devoted to the study of relationships between solutions of Minty vector variational-like inequalities (MVVLI) and solutions of vector optimization problems (VOP), as well as some relations between solutions of MVVLI and Stampacchia vector variational-like inequalities (SVVLI). Moreover

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ln this paper, we consider a vector version of Minty's Lemma and obtain existence theorems for two kinds of vector variational-like inequalities. (~) 1999 Elsevier Science Ltd. All rights reserved. KeywordshKKM map, KKM-Fan theorem, Vector variational-like inequalities, Cone.