Please use this identifier to cite or link to this item: https://dspace.ctu.edu.vn/jspui/handle/123456789/12244
Title: Painlevé–Kuratowski convergences of the solution sets for generalized vector quasi-equilibrium problems
Authors: Lam, Quoc Anh
Thanatporn, Bantaojai
Nguyen, Van Hung
Vo, Minh Tam
Rabian, Wangkeeree
Keywords: Quasi-equilibrium problems
Quasi-variational inequalities
Gap function
Painlevé–Kuratowski convergence
Nonlinear scalarization
Issue Date: 2017
Series/Report no.: Computational and Applied Mathematics;37 .- p. 3832–3845
Abstract: In this paper, we consider vector quasi-equilibrium problems under perturbation in terms of suitable asymptotically solving sequences, not embedding given problems into a parameterized family. By employing some types of convergences for mapping and set sequences, we obtain the Painlevé–Kuratowski upper convergence of solution sets for the reference problems. Then, using nonlinear scalarization functions, we propose gap functions for such problems, and later employing these functions, we study necessary and sufficient conditions for Painlevé–Kuratowski lower convergence and Painlevé–Kuratowski convergence. As an application, we discuss the special case of vector quasi-variational inequality.
URI: http://dspace.ctu.edu.vn/jspui/handle/123456789/12244
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