On the strictly G-preinvex function

被引：2
|
作者：
Li, Tai Yong [1 ]
Hu, Gui Hua [1 ]
机构：
[1] Zhejiang A&F Univ, Tianmu Coll, Hangzhou 311300, Zhejiang, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2014年
基金：
中国国家自然科学基金;
关键词：
G-preinvex functions; semistrictly G-preinvex functions; strictly G-preinvex functions; optimization; PRE-INVEX FUNCTIONS;
D O I：
10.1186/1029-242X-2014-210
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the strictly G-preinvex functions introduced by Antczak (J. Comput. Appl. Math. 217: 212-226, 2008). The relationships between semistrictly G-preinvex functions and strictly G-preinvex functions, G-preinvex functions strictly G-preinvex functions are investigated under mild assumptions. Our results improve and extend the existing ones in the literature.
引用
收藏
页数：9
相关论文
共 50 条
  • [1] On the strictly G-preinvex function
    Tai Yong Li
    Gui Hua Hu
    Journal of Inequalities and Applications, 2014
  • [2] On the relationships between G-preinvex functions and semistrictly G-preinvex functions
    Luo, H. Z.
    Wu, H. X.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 222 (02) : 372 - 380
  • [3] A note on G-preinvex functions
    Liu, Xiaoling
    Yuan, Dehui
    Xu, Chuanqing
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [4] A note on G-preinvex functions
    Xiaoling Liu
    Dehui Yuan
    Chuanqing Xu
    Journal of Inequalities and Applications, 2013
  • [5] Rayna's fractional integral operations on Hermite-Hadamard inequalities with η-G-Preinvex functions
    Muddassar, Muhammad
    Dragomir, Sever Silvestru
    Hussain, Zamir
    ADVANCES IN OPERATOR THEORY, 2020, 5 (04) : 1390 - 1405
  • [6] On strictly and semistrictly quasi α-preinvex functions
    Tang, Wan Mei
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2013, 15 (08) : 1391 - 1402
  • [7] Some New Characterizations of α-Preinvex Function
    Wang Hai-ying
    Fu Zu-feng
    2017 NINTH INTERNATIONAL CONFERENCE ON INTELLIGENT HUMAN-MACHINE SYSTEMS AND CYBERNETICS (IHMSC 2017), VOL 1, 2017, : 207 - 210
  • [8] On Semi-(B, G)-Preinvex Functions
    Liu, Xiaoling
    Yuan, D. H.
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [9] Some properties of geodesic E-preinvex function and geodesic semi E-preinvex function on Riemannian manifolds
    Kumari B.
    Jayswal A.
    OPSEARCH, 2018, 55 (3-4) : 807 - 822
  • [10] INEQUALITIES FOR HYPERBOLIC TYPE HARMONIC PREINVEX FUNCTION
    Sahoo, Soubhagya Kumar
    Kodamasingh, Bibhakar
    Latif, Muhammad amer
    KRAGUJEVAC JOURNAL OF MATHEMATICS, 2024, 48 (05): : 697 - 711
12345