Using KKM technique in set-valued optimization problems and variational-like inequalities

被引：0

作者：

Malek Abbasi

Mahbubeh Rezaie

机构：

[1] University of Isfahan,Department of Mathematics

来源：

Journal of Fixed Point Theory and Applications | 2016年 / 18卷

关键词：

KKM mapping; variational-like inequalities; set optimization; vector optimization; Primary 49J53; Secondary 49J40;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

KKM technique has proved a very useful tool in many areas of analysis. This paper aims to use this technique to give some necessary and sufficient conditions for set-valued optimization problems. We also use the KKM technique to introduce sufficient conditions for solution existence of some kinds of variational-like inequalities and thereby setvalued optimization problems.

引用

页码：77 / 92

页数：15

共 50 条

[1] Using KKM technique in set-valued optimization problems and variational-like inequalities
Abbasi, Malek
Rezaie, Mahbubeh
[J]. JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2016, 18 (01) : 77 - 92
[2] On set-valued optimization problems and vector variational-like inequalities
Miholca, Mihaela
[J]. OPTIMIZATION LETTERS, 2014, 8 (02) : 463 - 476
[3] On vector variational-like inequalities and set-valued optimization problems
J. Zeng
S. J. Li
[J]. Optimization Letters, 2011, 5 : 55 - 69
[4] On set-valued optimization problems and vector variational-like inequalities
Mihaela Miholca
[J]. Optimization Letters, 2014, 8 : 463 - 476
[5] On vector variational-like inequalities and set-valued optimization problems
Zeng, J.
Li, S. J.
[J]. OPTIMIZATION LETTERS, 2011, 5 (01) : 55 - 69
[6] PROPER EFFICIENCY FOR SET-VALUED OPTIMIZATION PROBLEMS AND VECTOR VARIATIONAL-LIKE INEQUALITIES
Long, Xian Jun
Quan, Jing
Wen, Dao-Jun
[J]. BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2013, 50 (03) : 777 - 786
[7] Scalarized Solutions of Set-Valued Optimization Problems and Generalized Variational-like Inequalities
Oveisiha, Morteza
Aghabagloo, Mansoureh
[J]. FILOMAT, 2017, 31 (12) : 3953 - 3963
[8] Gap Function for Set-Valued Vector Variational-Like Inequalities
S. K. Mishra
S. Y. Wang
K. K. Lai
[J]. Journal of Optimization Theory and Applications, 2008, 138 : 77 - 84
[9] Generalized Variational-Like Inequalities with Nonmonotone Set-Valued Mappings
X. P. Ding
[J]. Journal of Optimization Theory and Applications, 1997, 95 : 601 - 613
[10] Generalized variational-like inequalities with nonmonotone set-valued mappings
Ding, XP
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1997, 95 (03) : 601 - 613

← 1 2 3 4 5 →