On four discrete-type families of NCP-functions

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

On four discrete-type families of NCP-functions

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

^*Corresponding author for this work

Department of Mathematics

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

4 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	283-236
Number of pages	48
Journal	Journal of Nonlinear and Convex Analysis
Volume	20
Issue number	2
Publication status	Published - 2019

Keywords

Complementarity
NCP-function
Semismooth

ASJC Scopus subject areas

Analysis
Geometry and Topology
Control and Optimization
Applied Mathematics

Cite this

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title = "On four discrete-type families of NCP-functions",

abstract = "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.",

keywords = "Complementarity, NCP-function, Semismooth",

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AU - Weng, Kang Jun

AU - Chen, Jein Shan

AU - Chu, Hsun Wei

AU - Li, Ming Yen

PY - 2019

Y1 - 2019

N2 - 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.

AB - 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.

KW - Complementarity

KW - NCP-function

KW - Semismooth

UR - https://www.scopus.com/pages/publications/85064013909

UR - https://www.scopus.com/pages/publications/85064013909#tab=citedBy

M3 - Article

AN - SCOPUS:85064013909

SN - 1345-4773

VL - 20

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EP - 236

JO - Journal of Nonlinear and Convex Analysis

JF - Journal of Nonlinear and Convex Analysis

IS - 2

ER -

On four discrete-type families of NCP-functions

Abstract

Keywords

ASJC Scopus subject areas

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