GENERALIZED HADAMARD WELLPOSED FOR LEXICOGRAPHIC VECTOR EQUILIBRIUM PROBLEMS

In this paper, we study Painleve-Kuratowski convergence of the solution sets with a sequence of mappings converges continuously. By considering the solution sets of lexicographic vector equilibrium problems, we establish necessary and/or sufcient conditions to be Hadamard well-posed for the mentioned problems in the sense of Painleve-Kuratowski. The results in this paper unified, generalized and extended some known results in the literature. By obtaining consequences of the results, we also discuss lexicographic variational inequalities as an application.