A NEW SCALARIZING APPROACH AND THE SEMICONTINUITIES OF THE SOLUTION MAPPING OF A PARAMETRIC VECTOR QUASI-EQUILIBRIUM PROBLEM
DOI:
https://doi.org/10.37569/DalatUniversity.2.3.209(2012)Keywords:
Nonlinear scalarization function, Traditional linear scalarization approachesAbstract
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.Downloads
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Published
30-09-2012
Volume and Issues
Section
Natural Sciences and Technology
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Copyright (c) 2012 Phạm Hữu Sách, Lê Anh Tuấn

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
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)