On the characterization of D-preinvex functions

被引：0
|
作者：
Taiyong Li
Min Huang
机构：
[1] Zhejiang A & F University,Tianmu College
[2] Zhejiang A & F University,School of Economy and Management
来源：
Journal of Inequalities and Applications | / 2012卷
关键词：
-preinvex functions; -semistrictly preinvex functions; -strictly preinvex functions; semicontinuity;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In (J. Inequal. Appl. 2006:9532, 2006), Peng and Zhu discussed interrelations among D-preinvexity, D-semistrict preinvexity, and D-strict preinvexity for vector-valued functions. In this note, we show that the same results or even more general ones can be obtained under weaker assumptions. We also give a new characterization of D-preinvexity and D-semistrict preinvexity under mild conditions.
引用
收藏
相关论文
共 50 条
  • [31] MULTIPLICATIVELY PREINVEX P-FUNCTIONS
    Kadakal, Huriye
    Kadakal, Mahir
    JOURNAL OF SCIENCE AND ARTS, 2023, (01): : 21 - 32
  • [32] Inequalities for h-preinvex functions
    Matloka, Marian
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 234 : 52 - 57
  • [33] PROPERTIES OF HIGHER ORDER PREINVEX FUNCTIONS
    Noor, Muhammad Aslam
    Noor, Khalida Inayat
    NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION, 2021, 11 (03): : 431 - 441
  • [34] Semi-B-preinvex functions
    Long, X. J.
    Peng, J. W.
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2006, 131 (02) : 301 - 305
  • [35] Two properties of semistrictly preinvex functions
    Yang, XM
    Yang, XQ
    Teo, KL
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2004, 35 (11): : 1285 - 1292
  • [36] Fractional Integral Inequalities For Preinvex Functions
    Elahi, Sarah
    Noor, Muhammad Aslam
    Noor, Khalida Inayat
    APPLIED MATHEMATICS E-NOTES, 2021, 21 : 344 - 355
  • [37] SOME REMARKS ON PREINVEX FUNCTIONS AND OTHER GENERALIZED CONVEX FUNCTIONS
    Giorgi, Giorgio
    MATHEMATICAL REPORTS, 2008, 10 (04): : 317 - 325
  • [38] UPPER AND LOWER BOUNDS FOR RIEMANN TYPE QUANTUM INTEGRALS OF PREINVEX AND PREINVEX DOMINATED FUNCTIONS
    Awan, M. U.
    Cristescu, G.
    Noor, M. A.
    Riahi, L.
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2017, 79 (03): : 33 - 44
  • [39] New classes of strongly exponentially preinvex functions
    Noor, Muhammad Aslam
    Noor, Khalida Inayat
    AIMS MATHEMATICS, 2019, 4 (06): : 1554 - 1568
  • [40] Properties of Semi-B-Preinvex Functions
    Guo, Yunlian
    Fan, Liya
    PROCEEDINGS OF THE SECOND INTERNATIONAL CONFERENCE ON MODELLING AND SIMULATION (ICMS2009), VOL 1, 2009, : 165 - 168
12345