On construction of new NCP functions

Jan Harold Alcantara, Chen Han Lee, Chieu Thanh Nguyen, Yu Lin Chang, Jein Shan Chen*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


We report a new method to construct complementarity functions for the nonlinear complementarity problem (NCP). Basic properties related to growth behavior, convexity and semismoothness of the newly discovered NCP functions are proved. We also present some variants, generalizations and other transformations of these NCP functions. Finally, we propose some interesting research directions that can be explored in the NCP research.

Original languageEnglish
Pages (from-to)115-121
Number of pages7
JournalOperations Research Letters
Issue number2
Publication statusPublished - 2020 Mar


  • Complementarity functions
  • NCP-function
  • Nonlinear complementarity problem

ASJC Scopus subject areas

  • Software
  • Management Science and Operations Research
  • Industrial and Manufacturing Engineering
  • Applied Mathematics


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