Journal of Jilin University Science Edition

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Continuity of Solution Set Mapping for ParametricGeneralized SetValued Optimization Problems

MENG Xudong1, WANG Sanhua2   

  1. 1. Department of Basic Courses, Science and Technology College of NCHU, Nanchang 330034, China;2. School of Sciences, Nanchang University, Nanchang 330031, China
  • Received:2017-06-22 Online:2018-07-26 Published:2018-07-31
  • Contact: WANG Sanhua E-mail:wsh_315@163.com

Abstract: We considered the continuity of solution set mapping for two parametric generalized setvalued optimization problems in topological vector space. When ordered pair mapping consisting the objective function was lstrictly conequasiconvex, under the assumption of weaker constraint qualification, we obtained the optimization condtions for the continuity of the solution set mapping for two parametric generalized setvalued optimization problems.

Key words: parametric generalized setvalued optimization problem, continuity, solution set mapping

CLC Number: 

  • O221.3