Vietnam Journal of Mathematics

, Volume 46, Issue 2, pp 365–379 | Cite as

Subdifferential Stability Analysis for Convex Optimization Problems via Multiplier Sets

  • Duong Thi Viet An
  • Nguyen Dong YenEmail author


This paper discusses differential stability of convex programming problems in Hausdorff locally convex topological vector spaces. Among other things, we obtain formulas for computing or estimating the subdifferential and the singular subdifferential of the optimal value function via suitable multiplier sets.


Hausdorff locally convex topological vector space Convex programming Optimal value function Subdifferential Multiplier set 

Mathematics Subject Classification (2010)

49J27 49K40 90C25 90C30 90C31 90C46 



The authors would like to thank the two anonymous referees for their very careful readings and valuable suggestions which have helped to greatly improve the presentation.

Funding information

The first author was supported by the Vietnam Institute for Advanced Study in Mathematics (VIASM) and Thai Nguyen University of Sciences. This research is funded by the National Foundation for Science and Technology Development (Vietnam) under grant number 101.01-2014.37.


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Copyright information

© Vietnam Academy of Science and Technology (VAST) and Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  1. 1.Department of Mathematics and InformaticsThai Nguyen University of SciencesThai NguyenVietnam
  2. 2.Institute of MathematicsVietnam Academy of Science and TechnologyHanoiVietnam

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