两类锥广义伪不变凸性的刻画

Operations Research Transactions ›› 2015, Vol. 19 ›› Issue (1): 1-8.

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Characterizations of two classes of cone generalized pseudoinvexity

TANG Liping¹, YANG Xinmin^2,*

1. Department of Mathematics, Shanghai University, Shanghai 200444, China; 2. College of Mathematics Sciences, Chongqing Normal University, Chongqing 400047, China

Received:2014-12-11 Online:2015-03-15 Published:2015-03-15

Abstract

Abstract: In this paper, a class of nonsmooth vector optimization problem with constraints is considered. The concepts of FJ-pseudoinvexity-I(II) in the sense of cone are introduced; Gordan's theorem over general cone domains is established; and then, FJ-pseudoinvexity-I(II) are characterized by the relationships between FJ vector critical points and the (weak) efficient solutions of nonsmooth vector optimization.

Key words: vector optimization, FJ-pseudoinvexity-I(II), FJ vector critical point, (weak) efficient solution

CLC Number:

TANG Liping, YANG Xinmin. Characterizations of two classes of cone generalized pseudoinvexity[J]. Operations Research Transactions, 2015, 19(1): 1-8.

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Characterizations of two classes of cone generalized pseudoinvexity

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