A NEW SCALARIZING APPROACH AND THE SEMICONTINUITIES OF THE SOLUTION MAPPING OF A PARAMETRIC VECTOR QUASI-EQUILIBRIUM PROBLEM

Authors

  • Phạm Hữu Sách Hanoi Institute of Mathematics, Viet Nam
  • Lê Anh Tuấn Nonglam University, Ho Chi Minh city; and Ninhthuan College of Pedagogy, Viet Nam

DOI:

https://doi.org/10.37569/DalatUniversity.2.3.209(2012)

Keywords:

Nonlinear scalarization function, Traditional linear scalarization approaches

Abstract

This paper gives sufficient conditions for the upper and lower semicontinuities of the solution mapping of a parametric vector quasi-equilibrium problem with moving cones. We use a new scalarizing approach quite different from traditional linear scalarization approaches. The main tool of this paper is a new notion of nonlinear scalarization function which is a generalised version of the Gerstewitz function applied to set-valued maps.

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Published

30-09-2012

Volume and Issues

Section

Natural Sciences and Technology

How to Cite

Sách, P. H., & Tuấn, L. A. (2012). A NEW SCALARIZING APPROACH AND THE SEMICONTINUITIES OF THE SOLUTION MAPPING OF A PARAMETRIC VECTOR QUASI-EQUILIBRIUM PROBLEM. Dalat University Journal of Science, 2(3), 62-66. https://doi.org/10.37569/DalatUniversity.2.3.209(2012)