TY - JOUR
T1 - On Properties of Preinvex Functions
AU - Yang, Xin Min
AU - Li, Duan
PY - 2001/4/1
Y1 - 2001/4/1
N2 - 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.
AB - 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.
KW - Invex set
KW - preinvex function
KW - prequasi-invex function
KW - semicontinuous function
UR - http://www.scopus.com/inward/record.url?scp=0035315119&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-0035315119&origin=recordpage
U2 - 10.1006/jmaa.2000.7310
DO - 10.1006/jmaa.2000.7310
M3 - RGC 21 - Publication in refereed journal
SN - 0022-247X
VL - 256
SP - 229
EP - 241
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 1
ER -