TY - JOUR
T1 - On construction of new NCP functions
AU - Alcantara, Jan Harold
AU - Lee, Chen Han
AU - Nguyen, Chieu Thanh
AU - Chang, Yu Lin
AU - Chen, Jein Shan
N1 - Publisher Copyright:
© 2020 Elsevier B.V.
PY - 2020/3
Y1 - 2020/3
N2 - 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.
AB - 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.
KW - Complementarity functions
KW - NCP-function
KW - Nonlinear complementarity problem
UR - http://www.scopus.com/inward/record.url?scp=85078708572&partnerID=8YFLogxK
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U2 - 10.1016/j.orl.2020.01.002
DO - 10.1016/j.orl.2020.01.002
M3 - Article
AN - SCOPUS:85078708572
SN - 0167-6377
VL - 48
SP - 115
EP - 121
JO - Operations Research Letters
JF - Operations Research Letters
IS - 2
ER -