PAINLEVE-KURATOWSKI STABILITY OF THE APPROXIMATE SOLUTION SETS FOR SET-VALUED VECTOR EQUILIBRIUM PROBLEMS

摘要

The aim of this paper is to study the stability aspects of approximate solution sets of perturbed vector equilibrium problems in Hausdorff topological vector spaces. Using a scalarization method, we establish a sufficient condition for Painleve-Kuratowski convergence of &approximate solutions set to set-valued vector equilibrium problems, where the sequence of mappings converge in the sense of Gamma(c). These results extend and improve some results in the literature. Some examples are given to illustrate the results.