Global minimization of the difference of strictly non-positive valued affine ICR functions

被引：4

作者：

Daryaei, M. H. ^{[1
]}

Mohebi, H. ^{[2
,3
]}

机构：

[1] Shahid Bahonar Univ Kerman, Kerman, Iran

[2] Shahid Bahonar Univ Kerman, Dept Math, Kerman, Iran

[3] Grad Univ Adv Technol, Kerman, Iran

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2015年 / 61卷 / 02期

关键词：

Global optimization; Abstract convexity; Non-positive valued affine ICR function; Subdifferential; Support set; TOPOLOGICAL VECTOR-SPACES; MONOTONIC ANALYSIS; OPTIMIZATION;

D O I：

10.1007/s10898-014-0168-0

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 paper, non-positive valued affine increasing and co-radiant (ICR) functions are defined in the framework of abstract convexity. The basic properties of this class of functions such as support set and subdifferential are presented. As an application, we give optimality conditions for the global minimum of the difference of two strictly non-positive valued affine ICR functions.

引用

页码：311 / 323

页数：13

共 19 条

[1] [Anonymous], 1989, Nonsmooth Optimization and Related Topics, Ettore Majorana International Science Series
[2] Avriel M., 1988, Generalized Concavity
[3] Global minimization of increasing positively homogeneous functions over the unit simplex
Bagirov, AM
Rubinov, AM
[J]. ANNALS OF OPERATIONS RESEARCH, 2000, 98 (1-4) : 171 - 187
[4] Coelli T.J., 1997, INTRO EFFICIENCY PRO
[5] Abstract convexity of extended real-valued ICR functions
Daryaei, M. H.
Mohebi, H.
[J]. OPTIMIZATION, 2013, 62 (06) : 835 - 855
[6] Daryaei M.H., CHARACTERIZATI UNPUB
[7] Diewert W.E., 1982, Handbook of Mathematical Economics, VII, DOI 10.1016/S1573-4382(82)02007-4
[8] Optimization of the difference of topical functions
Doagooei, A. R.
Mohebi, H.
[J]. JOURNAL OF GLOBAL OPTIMIZATION, 2013, 57 (04) : 1349 - 1358
[9] Monotonic analysis over ordered topological vector spaces: IV
Doagooei, A. R.
Mohebi, Hossein
[J]. JOURNAL OF GLOBAL OPTIMIZATION, 2009, 45 (03) : 355 - 369
[10] Optimization of the difference of ICR functions
Doagooei, A. R.
Mohebi, H.
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (10) : 4493 - 4499

← 1 2 →