A NEW SCALARIZING APPROACH AND THE SEMICONTINUITIES OF THE SOLUTION MAPPING OF A PARAMETRIC VECTOR QUASI-EQUILIBRIUM PROBLEM
Keywords:Nonlinear scalarization function, Traditional linear scalarization approaches
AbstractThis 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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Copyright (c) 2012 Phạm Hữu Sách, Lê Anh Tuấn
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