Journal of Global Optimization

, Volume 32, Issue 4, pp 451–466 | Cite as

A Nonlinear Scalarization Function and Generalized Quasi-vector Equilibrium Problems

Article

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 

Mathematics Subject Classifications

90C47 90C33 

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Copyright information

© Springer 2005

Authors and Affiliations

  1. 1.Institute of Systems ScienceChinese Academy of SciencesBeijingChina
  2. 2.Department of Applied MathematicsThe Hong Kong Polytechnic UniversityKowloonHong Kong
  3. 3.School of Economics and ManagementTsinghua UniversityBeijingChina

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