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Sensitivity analysis for parametric vector equilibrium problems

Authors: 

LAM QUOC ANH AND TRAN NGOC TAM

Source title: 
Journal of Nonlinear and Convex Analysis, 18(9): 1707-1716, 2017 (ISI)
Academic year of acceptance: 
2018-2019
Abstract: 

In this paper, we introduce various kind of generalized concavity of vector functions. Then we apply these new relaxed notions to establish the practicable sufficient conditions for the approximate solution maps to both weak and strong vector equilibrium problem to be Holder continous. Many examples are provided to illustrate the essentialness of the imposed assumptions and so that our results are new or improve the recent existing ones in the literature.