On the Characterization of Preinvex Functions

H. Z. Luo () and H. X. Wu ()
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H. Z. Luo: Zhejiang University of Technology
H. X. Wu: Hangzhou Dianzi University

Journal of Optimization Theory and Applications, 2008, vol. 138, issue 2, No 10, 297-304

Abstract: Abstract In Refs. [J. Math. Anal. Appl. 258:287–308, [2001]; J. Math. Anal. Appl. 256:229–241, [2001]], Yang and Li presented a characterization of preinvex functions and semistrictly preinvex functions under a certain set of conditions. In this note, we show that the same results or even more general ones can be obtained under weaker assumptions; we also give a characterization of strictly preinvex functions under mild conditions.

Keywords: Preinvex functions; Semistrictly preinvex functions; Strictly preinvex functions; Semicontinuity (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1007/s10957-008-9373-7

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