On construction of new NCP functions

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

doi:10.1016/j.orl.2020.01.002

On construction of new NCP functions

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

^*此作品的通信作者

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

8 引文斯高帕斯（Scopus）

摘要

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.

原文	英語
頁（從 - 到）	115-121
頁數	7
期刊	Operations Research Letters
卷	48
發行號	2
DOIs	https://doi.org/10.1016/j.orl.2020.01.002
出版狀態	已發佈 - 2020 3月

ASJC Scopus subject areas

軟體
管理科學與經營研究
工業與製造工程
應用數學

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10.1016/j.orl.2020.01.002

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引用此

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title = "On construction of new NCP functions",

abstract = "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.",

keywords = "Complementarity functions, NCP-function, Nonlinear complementarity problem",

author = "Alcantara, \{Jan Harold\} and Lee, \{Chen Han\} and Nguyen, \{Chieu Thanh\} and Chang, \{Yu Lin\} and Chen, \{Jein Shan\}",

note = "Publisher Copyright: {\textcopyright} 2020 Elsevier B.V.",

year = "2020",

month = mar,

doi = "10.1016/j.orl.2020.01.002",

language = "English",

volume = "48",

pages = "115--121",

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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

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 - https://www.scopus.com/pages/publications/85078708572

UR - https://www.scopus.com/pages/publications/85078708572#tab=citedBy

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 -

On construction of new NCP functions

摘要

ASJC Scopus subject areas

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