Some equivalences among nonlinear complementarity problems, least-element problems, and variational inequality problems in ordered spaces

Qamrul Hasan Ansari; Jen Chih Yao

doi:10.1007/978-1-4419-9640-4_1

Some equivalences among nonlinear complementarity problems, least-element problems, and variational inequality problems in ordered spaces

Qamrul Hasan Ansari
, Jen Chih Yao

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

4 Scopus citations

Abstract

In this survey chapter we introduce several Z-type single-valued maps as well as set-valued maps. We present several equivalences among different types of nonlinear programs, different types of least-element problems, and different types of variational inequality problems under certain regularity and growth conditions.

Original language	English
Title of host publication	Springer Optimization and Its Applications
Publisher	Springer International Publishing
Pages	1-25
Number of pages	25
DOIs	https://doi.org/10.1007/978-1-4419-9640-4_1
State	Published - 2011
Externally published	Yes

Publication series

Name	Springer Optimization and Its Applications
Volume	50
ISSN (Print)	1931-6828
ISSN (Electronic)	1931-6836

Bibliographical note

Publisher Copyright:
© Springer Science+Business Media, LLC 2011.

ASJC Scopus subject areas

Control and Optimization

Access to Document

10.1007/978-1-4419-9640-4_1

Cite this

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title = "Some equivalences among nonlinear complementarity problems, least-element problems, and variational inequality problems in ordered spaces",

abstract = "In this survey chapter we introduce several Z-type single-valued maps as well as set-valued maps. We present several equivalences among different types of nonlinear programs, different types of least-element problems, and different types of variational inequality problems under certain regularity and growth conditions.",

author = "Ansari, \{Qamrul Hasan\} and Yao, \{Jen Chih\}",

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Some equivalences among nonlinear complementarity problems, least-element problems, and variational inequality problems in ordered spaces. / Ansari, Qamrul Hasan; Yao, Jen Chih.
Springer Optimization and Its Applications. Springer International Publishing, 2011. p. 1-25 (Springer Optimization and Its Applications; Vol. 50).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

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AU - Ansari, Qamrul Hasan

AU - Yao, Jen Chih

PY - 2011

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AB - In this survey chapter we introduce several Z-type single-valued maps as well as set-valued maps. We present several equivalences among different types of nonlinear programs, different types of least-element problems, and different types of variational inequality problems under certain regularity and growth conditions.

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M3 - Chapter

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ER -

Some equivalences among nonlinear complementarity problems, least-element problems, and variational inequality problems in ordered spaces

Abstract

Publication series

Bibliographical note

ASJC Scopus subject areas

Access to Document

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Cite this