On four discrete-type families of NCP-functions

Chien Hao Huang, Kang Jun Weng, Jein Shan Chen, Hsun Wei Chu, Ming Yen Li

Research output: Contribution to journalArticle

1 Citation (Scopus)


In this paper, we look into the detailed properties of four discrete- type families of NCP-functions, which are newly discovered in recent literature. With the discrete-oriented feature, we are motivated to know what differences there are compared to the traditional NCP-functions. The properties obtained in this paper not only explain the difference but also provide background bricks for designing solution methods based on such discrete-type families of NCP- functions.

Original languageEnglish
Pages (from-to)283-236
Number of pages48
JournalJournal of Nonlinear and Convex Analysis
Issue number2
Publication statusPublished - 2019 Jan 1
Externally publishedYes


  • Complementarity
  • NCP-function
  • Semismooth

ASJC Scopus subject areas

  • Analysis
  • Geometry and Topology
  • Control and Optimization
  • Applied Mathematics

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  • Cite this

    Huang, C. H., Weng, K. J., Chen, J. S., Chu, H. W., & Li, M. Y. (2019). On four discrete-type families of NCP-functions. Journal of Nonlinear and Convex Analysis, 20(2), 283-236.