Journal of East China Normal University(Natural Sc ›› 2013, Vol. 2013 ›› Issue (2): 131-135, 145.

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Lower semicontinuity to parametric lexicographic vector equilibrium problems

FANG Zhi-miao 1, ZHANG Yu 2, CHEN Tao 3   

  1. 1. Department of Basic Courses, Chongqing Police College, Chongqing 401331, China;
    2. College of Mathematics and Statistics, Chongqing University, Chongqing 401331, China;
    3. Open Education Institute, Yunnan Radio and TV University, Kunming 650223, China
  • Received:2012-03-01 Revised:2012-06-01 Online:2013-03-25 Published:2013-03-20

Abstract: In this paper, a parametric vector equilibrium problem in a
lexicographic order was first introduced. Then, by using an
auxiliary problem, the lower semicontinuity of the solution set map
was established based on the density of the solution set mapping for
a parametric lexicographic vector equilibrium problem.

Key words: lexicographic vector equilibrium problem, lower semicontinuity, lexicographic cone

CLC Number: