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

Phạm Hữu Sách, Lê Anh Tuấn

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.

Keywords


Nonlinear scalarization function; Traditional linear scalarization approaches



DOI: http://dx.doi.org/10.37569/DalatUniversity.2.3.209(2012)

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Copyright (c) 2012 Phạm Hữu Sách, Lê Anh Tuấn

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