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^*

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

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.

Original language	English
Pages (from-to)	115-121
Number of pages	7
Journal	Operations Research Letters
Volume	48
Issue number	2
DOIs	https://doi.org/10.1016/j.orl.2020.01.002
Publication status	Published - 2020 Mar

Keywords

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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10.1016/j.orl.2020.01.002

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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.",

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

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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

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DO - 10.1016/j.orl.2020.01.002

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VL - 48

SP - 115

EP - 121

JO - Operations Research Letters

JF - Operations Research Letters

IS - 2

ER -

On construction of new NCP functions

Abstract

Keywords

ASJC Scopus subject areas

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