A nonlinear scalarization function and generalized quasi-vector equilibrium problems

G. Y. Chen; Xiaoqi Yang; H. Yu

doi:10.1007/s10898-003-2683-2

A nonlinear scalarization function and generalized quasi-vector equilibrium problems

G. Y. Chen, Xiaoqi Yang, H. Yu

Research output: Journal article publication › Journal article › Academic research › peer-review

114 Citations (Scopus)

Abstract

Scalarization method is an important tool in the study of vector optimization as corresponding solutions of vector optimization problems can be found by solving scalar optimization problems. In this paper we introduce a nonlinear scalarization function for a variable domination structure. Several important properties, such as subadditiveness and continuity, of this nonlinear scalarization function are established. This nonlinear scalarization function is applied to study the existence of solutions for generalized quasi-vector equilibrium problems.

Original language	English
Pages (from-to)	451-466
Number of pages	16
Journal	Journal of Global Optimization
Volume	32
Issue number	4
DOIs	https://doi.org/10.1007/s10898-003-2683-2
Publication status	Published - 1 Aug 2005

Keywords

Existence
Generalized quasi-vector equilibrium
Scalarization method

ASJC Scopus subject areas

Computer Science Applications
Control and Optimization
Management Science and Operations Research
Applied Mathematics

More information

10.1007/s10898-003-2683-2

Cite this

@article{9ec51a4930894335939ea02957fb496a,

title = "A nonlinear scalarization function and generalized quasi-vector equilibrium problems",

abstract = "Scalarization method is an important tool in the study of vector optimization as corresponding solutions of vector optimization problems can be found by solving scalar optimization problems. In this paper we introduce a nonlinear scalarization function for a variable domination structure. Several important properties, such as subadditiveness and continuity, of this nonlinear scalarization function are established. This nonlinear scalarization function is applied to study the existence of solutions for generalized quasi-vector equilibrium problems.",

keywords = "Existence, Generalized quasi-vector equilibrium, Scalarization method",

author = "Chen, {G. Y.} and Xiaoqi Yang and H. Yu",

year = "2005",

month = aug,

day = "1",

doi = "10.1007/s10898-003-2683-2",

language = "English",

volume = "32",

pages = "451--466",

journal = "Journal of Global Optimization",

issn = "0925-5001",

publisher = "Springer Netherlands",

number = "4",

}

TY - JOUR

T1 - A nonlinear scalarization function and generalized quasi-vector equilibrium problems

AU - Chen, G. Y.

AU - Yang, Xiaoqi

AU - Yu, H.

PY - 2005/8/1

Y1 - 2005/8/1

N2 - Scalarization method is an important tool in the study of vector optimization as corresponding solutions of vector optimization problems can be found by solving scalar optimization problems. In this paper we introduce a nonlinear scalarization function for a variable domination structure. Several important properties, such as subadditiveness and continuity, of this nonlinear scalarization function are established. This nonlinear scalarization function is applied to study the existence of solutions for generalized quasi-vector equilibrium problems.

AB - Scalarization method is an important tool in the study of vector optimization as corresponding solutions of vector optimization problems can be found by solving scalar optimization problems. In this paper we introduce a nonlinear scalarization function for a variable domination structure. Several important properties, such as subadditiveness and continuity, of this nonlinear scalarization function are established. This nonlinear scalarization function is applied to study the existence of solutions for generalized quasi-vector equilibrium problems.

KW - Existence

KW - Generalized quasi-vector equilibrium

KW - Scalarization method

UR - http://www.scopus.com/inward/record.url?scp=27744571351&partnerID=8YFLogxK

U2 - 10.1007/s10898-003-2683-2

DO - 10.1007/s10898-003-2683-2

M3 - Journal article

VL - 32

SP - 451

EP - 466

JO - Journal of Global Optimization

JF - Journal of Global Optimization

SN - 0925-5001

IS - 4

ER -

A nonlinear scalarization function and generalized quasi-vector equilibrium problems

Abstract

Keywords

ASJC Scopus subject areas

More information

Other files and links

Cite this