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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 55, 2006 - Issue 1-2: Issue: In Celebration of Prof. Dr. N.U. Ahmed's 70th Birthday, Guest Editors: Kok Lay Teo, Xin Min Yang and Alexander M. Rubinov
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Vector variational-like inequality with pseudoinvexity

X. M. Yang Department of Mathematics, Chongqing Normal University, Chongqing 400047, ChinaCorrespondence[email protected]
&
X. Q. Yang Department of Applied Mathematics, The Hong Kong Polytechnic University, Hong Kong
Pages 157-170 | Received 10 Nov 2004, Accepted 28 Jan 2005, Published online: 11 Oct 2011
 
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Abstract

In this article, some properties of pseudoinvex functions are given and relations between vector variational-like inequalities and vector optimization problems are discussed under pseudoinvexity and invariant pseudomonotonicity conditions, respectively.

Acknowledgment

This research was partially supported by the National Natural Science Foundation of China (Grant No. 10471159), NCET and Natural Science Foundation of Chongqing.

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