On Properties of Preinvex Functions
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
|Journal / Publication||Journal of Mathematical Analysis and Applications|
|Publication status||Published - 1 Apr 2001|
|Link to Scopus||https://www.scopus.com/record/display.uri?eid=2-s2.0-0035315119&origin=recordpage|
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.
- Invex set, preinvex function, prequasi-invex function, semicontinuous function