Alternative theorems for nonlinear projection equations and applications to generalized complementarity problems

Y. Zhao; Defeng Sun

doi:10.1016/S0362-546X(00)00154-1

Alternative theorems for nonlinear projection equations and applications to generalized complementarity problems

Y. Zhao
, Defeng Sun

Research output: Journal article publication › Journal article › Academic research › peer-review

10 Citations (Scopus)

Abstract

Two alternative theorems concerning the existence of a solution to nonlinear projection equations (NPE) were proved. Two new concepts of exceptional families with respect to NPE were introduced for the purpose. The analysis method presented is a powerful tool for the study of solvability of these equations.

Original language	English
Pages (from-to)	853-868
Number of pages	16
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	46
Issue number	6
DOIs	https://doi.org/10.1016/S0362-546X(00)00154-1
Publication status	Published - 1 Nov 2001
Externally published	Yes

Keywords

Exceptional families
Generalized complementarity problems
Nonlinear projection equations
Variational inequalities

ASJC Scopus subject areas

Analysis
Applied Mathematics
General Mathematics

More information

10.1016/S0362-546X(00)00154-1

Cite this

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title = "Alternative theorems for nonlinear projection equations and applications to generalized complementarity problems",

abstract = "Two alternative theorems concerning the existence of a solution to nonlinear projection equations (NPE) were proved. Two new concepts of exceptional families with respect to NPE were introduced for the purpose. The analysis method presented is a powerful tool for the study of solvability of these equations.",

keywords = "Exceptional families, Generalized complementarity problems, Nonlinear projection equations, Variational inequalities",

author = "Y. Zhao and Defeng Sun",

year = "2001",

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T1 - Alternative theorems for nonlinear projection equations and applications to generalized complementarity problems

AU - Zhao, Y.

AU - Sun, Defeng

PY - 2001/11/1

Y1 - 2001/11/1

N2 - Two alternative theorems concerning the existence of a solution to nonlinear projection equations (NPE) were proved. Two new concepts of exceptional families with respect to NPE were introduced for the purpose. The analysis method presented is a powerful tool for the study of solvability of these equations.

AB - Two alternative theorems concerning the existence of a solution to nonlinear projection equations (NPE) were proved. Two new concepts of exceptional families with respect to NPE were introduced for the purpose. The analysis method presented is a powerful tool for the study of solvability of these equations.

KW - Exceptional families

KW - Generalized complementarity problems

KW - Nonlinear projection equations

KW - Variational inequalities

UR - https://www.scopus.com/pages/publications/0035501583

U2 - 10.1016/S0362-546X(00)00154-1

DO - 10.1016/S0362-546X(00)00154-1

M3 - Journal article

SN - 0362-546X

VL - 46

SP - 853

EP - 868

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 6

ER -

Alternative theorems for nonlinear projection equations and applications to generalized complementarity problems

Abstract

Keywords

ASJC Scopus subject areas

More information

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