On the relationships between G-preinvex functions and semistrictly G-preinvex functions

Authors:
H. Z. Luo;H. X. Wu
Affiliations:
Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou, Zhejiang 310032, China;College of Science, Hangzhou Dianzi University, Hangzhou, Zhejiang 310018, China
Venue:
Journal of Computational and Applied Mathematics
Year:
2008

Citing 3
Cited 0

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G-pre-invex functions in mathematical programming

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Υ-preinvexity and Υ-invexity in mathematical programming

Computers & Mathematics with Applications

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Abstract

A new class of functions, termed semistrictly G-preinvex functions, is introduced in this paper. The relationships between semistrictly G-preinvex functions and G-preinvex functions are investigated under mild assumptions. Our results improve and extend the existing ones in the literature.