In:
Bulletin of the Australian Mathematical Society, Cambridge University Press (CUP), Vol. 75, No. 1 ( 2007-02), p. 59-74
Abstract:
In this paper, a new type of generalised convexity—semilocal E -convexity is introduced by combining the concepts of the semi- E -convexity in X.S. Chen [ J. Math. Anal. Appl. 275(2002), 251–262] and semilocal convexity in G.M. Ewing [ SIAM. Rev. 19(1977), 202–220], and some of its basic characters are discussed. By utilising the new concepts, we derive some optimality conditions and establish some duality results for the inequality constrained optimisation problem.
Type of Medium:
Online Resource
ISSN:
0004-9727
,
1755-1633
DOI:
10.1017/S0004972700038983
Language:
English
Publisher:
Cambridge University Press (CUP)
Publication Date:
2007
detail.hit.zdb_id:
2268688-5
SSG:
17,1
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