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Continuity of the solution set map to parametric weak vector equilibrium problems

LUO Guowang1,* PENG Yanfang2 LIU Yanmin1 HUANG Jianwen1   

  1. 1. School of Mathematics and Computational Science, Zunyi Normal College, Zunyi 563002, Guizhou, China; 2. School of Mathematics and Computer Science, Guizhou Normal University, Guiyang 550001, China
  • Received:2014-10-24 Online:2016-03-15 Published:2016-03-15

Abstract:

In this paper, using the nonlinear scalarization method, we obtain the upper semicontinuity and lower semicontinuity of the solution mappings to parametric weak vector equilibrium problems. Some examples are given to illustrate our results.

Key words: parametric weak vector equilibrium problem, upper semicontinuity, lower semicontinuity, nonlinear scalarization