Painleve-Kuratowski Convergence of Solution Sets for Generalized Strong Vector Quasi-Equilibrium Problem with Domination Structure

Thanatporn Bantaojai, Rabian Wangkeeree

Abstract

This paper is concerned with the stability of the solution sets for a generalized strong vector quasi-equilibrium problem with domination structure (GSVQEP), that is, we study Painlevé-Kuratowski convergence of the solution sets with a sequence of mappings converging continuously and sequence of set converging in the sense of Painlevé-Kuratowski. Our main results are new and differentfromtheexistingonesintheliterature. Illustratingexamplesareprovied