Minimizing the difference of two quasiconvex functions

被引:2
|
作者
Dempe, S. [1 ]
Gadhi, N. [2 ]
Hamdaoui, K. [2 ]
机构
[1] Tech Univ Bergakad Freiberg, Dept Math & Comp Sci, Freiberg, Germany
[2] Sidi Mohamed Ben Abdellah Univ, Dhar El Mahraz, LSO, Dept Math, Fes, Morocco
关键词
Quasiconvex function; Difference of quasiconvex functions; Q-subdifferential; Optimality conditions;
D O I
10.1007/s11590-019-01470-5
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
In this note, we are concerned with an optimization problem (P) where the objective function is the difference of two quasiconvex functions. Using a suitable subdifferential introduced by Suzuki and Kuroiwa (Nonlinear Anal 74:1279-1285, 2011), we give necessary optimality conditions. An example is given to illustrate the result.
引用
收藏
页码:1765 / 1779
页数:15
相关论文
共 50 条
  • [1] Minimizing the difference of two quasiconvex functions
    S. Dempe
    N. Gadhi
    K. Hamdaoui
    [J]. Optimization Letters, 2020, 14 : 1765 - 1779
  • [2] Minimizing the difference of two quasiconvex functions over a vector-valued quasiconvex system
    Dempe, Stephan
    Gadhi, Nazih Abderrazzak
    Hamdaoui, Khadija
    [J]. OPTIMIZATION, 2020, 69 (05) : 997 - 1012
  • [3] Minimizing the Difference of Dual Functions of Two Coradiant Functions
    Mohebi, A.
    Mohebi, H.
    [J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2019, 40 (03) : 280 - 302
  • [4] Convergence of the steepest descent method for minimizing quasiconvex functions
    Kiwiel, KC
    Murty, K
    [J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1996, 89 (01) : 221 - 226
  • [5] Quasiconvex duality for the max of two functions
    Volle, M
    [J]. RECENT ADVANCES IN OPTIMIZATION, 1997, 452 : 365 - 379
  • [6] Minimizing a Symmetric Quasiconvex Function on a Two-Dimensional Lattice
    Veselov S.I.
    Gribanov D.B.
    Zolotykh N.Y.
    Chirkov A.Y.
    [J]. Veselov, S.I. (sergey.veselov@itmm.unn.ru), 2018, Pleiades journals (12) : 587 - 594
  • [7] The complexity of minimizing the difference of two Mb-convex set functions
    Kobayashi, Yusuke
    [J]. OPERATIONS RESEARCH LETTERS, 2015, 43 (06) : 573 - 574
  • [8] Approximation of quasiconvex functions by neatly quasiconvex functions
    Suliman Al-Homidan
    Loai Shaalan
    [J]. Optimization Letters, 2021, 15 : 979 - 989
  • [9] Approximation of quasiconvex functions by neatly quasiconvex functions
    Al-Homidan, Suliman
    Shaalan, Loai
    [J]. OPTIMIZATION LETTERS, 2021, 15 (03) : 979 - 989
  • [10] C-1,ALPHA PARTIAL REGULARITY OF FUNCTIONS MINIMIZING QUASICONVEX INTEGRALS
    FUSCO, N
    HUTCHINSON, J
    [J]. MANUSCRIPTA MATHEMATICA, 1985, 54 (1-2) : 121 - 143