New Results on Henig Proper Generalized Vector Quasiequilibrium Problems |
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| Authors: | Pham Huu Sach Nguyen Ba Minh |
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| Institution: | 1. Hanoi Institute of Mathematics, Vietnam Academy of Science and Technology , Hanoi , Vietnam phsach@math.ac.vn;3. Hanoi University of Commerce , Hanoi , Vietnam |
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| Abstract: | New sufficient conditions are given for the existence of solutions of a Henig proper generalized vector quasiequilibrium problem with moving cones. They are established by a new scalarizing approach, which is based on a suitable nonlinear scalarization function, proposed recently for set-valued maps in Sach and Tuan (J. Optim. Theory Appl. 157:347–364 (2013)). Examples are given to illustrate our main results. |
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| Keywords: | Cone-preconcavity Existence result Proper efficiency Quasiequilibrium problem Scalarization function Set-valued map |
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