On Properties of Preinvex Functions
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 229-241 |
| Journal / Publication | Journal of Mathematical Analysis and Applications |
| Volume | 256 |
| Issue number | 1 |
| Publication status | Published - 1 Apr 2001 |
| Externally published | Yes |
Link(s)
Abstract
We consider in this paper the class of preinvex functions introduced by T. Weir and co-workers (1988, J. Math. Anal. Appl.136, 29-38; 1988, Bull. Austral. Math. Soc. 38, 177-189). Under semi-continuity conditions, a determination of the satisfaction of preinvexity for a function can be achieved via an intermediate-point preinvexity check. A characterization of a preinvex function in terms of its relationship with an intermediate-point preinvexity and prequasi-invexity is provided.
Research Area(s)
- Invex set, preinvex function, prequasi-invex function, semicontinuous function
Citation Format(s)
On Properties of Preinvex Functions. / Yang, Xin Min; Li, Duan.
In: Journal of Mathematical Analysis and Applications, Vol. 256, No. 1, 01.04.2001, p. 229-241.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
