Images, Fixed Points and Vector Extremum Problems

被引：1

作者：

Antoni, Carla ^{[1
]}

Alshahrani, Mohammed ^{[2
]}

机构：

[1] Naval Acad, Livorno, Italy

[2] King Fahd Univ Petr & Minerals, Dhahran, Saudi Arabia

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2018年 / 177卷 / 03期

关键词：

Image apace analysis; Vector optimization problems; Multi-objective problems; Existence of maxima and minima; Bi-level optimization; Vector variational inequalities; OPTIMIZATION;

D O I：

10.1007/s10957-017-1158-4

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：

Based on recent results on image space analysis, the paper aims at describing a fixed point approach to vector optimization problems. Possible extensions to the bi-level vector optimization are discussed.

引用

页码：889 / 905

页数：17

共 15 条

[1]

Antoni C., SOME REMARKS C UNPUB

[2]

Antoni C., 2014, OPTIMIZATION ITS APP, P137, DOI DOI 10.1007/978-1-4614-8615-2_9

[3]

Antoni C., IMAGES EXISTEN UNPUB

[4] Characterizations of convex and quasiconvex set-valued maps [J].

Benoist, J ;

Popovici, N .

MATHEMATICAL METHODS OF OPERATIONS RESEARCH, 2003, 57 (03) :427-435

[5]

Chen GY, 2005, LECT NOTES ECON MATH, V541, P1, DOI 10.1007/3-540-28445-1

[6]

Chinaie M., 2009, J OPTIM THEORY APPL, V142

[7]

Eichfelder G, 2008, VECTOR OPTIM, P1, DOI 10.1007/978-3-540-79159-1

[8] Piecewise Linear Multicriteria Programs: The Continuous Case and Its Discontinuous Generalization [J].

Fang, Ya Ping ;

Meng, Kaiwen ;

Yang, Xiao Qi .

OPERATIONS RESEARCH, 2012, 60 (02) :398-409

[9]

Gerstewitz C., 1983, Wiss Zeitschrift Tech Hochsch, V25, P357

[10]

Giannessi F., 2005, CONSTRAINED OPTIMIZA, DOI [10.1007/0-387-28020-0, DOI 10.1007/0-387-28020-0]

← 1 2 →