Semistrictly preinvex functions

Authors
Yang, XM Li, D
Citation
Xm. Yang et D. Li, Semistrictly preinvex functions, J MATH ANAL, 258(1), 2001, pp. 287-308
Citations number
11
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
258
Issue
1
Year of publication
2001
Pages
287 - 308
Database
ISI
SICI code
0022-247X(20010601)258:1<287:SPF>2.0.ZU;2-U
Abstract
A new class of functions, termed semistrictly preinvex functions, is introd uced in this paper. Same properties of semistrictly preinvex functions are discussed. In particular, the relationship between semistrictly preinvex fu nctions and preinvex functions is investigated. Some characterization prope rties of semistrictly preinvex functions are derived under a lower semicont inuous condition, and a gradient property of semistrictly preinvex function s is obtained. (C) 2001 Academic Press.