The existence of nonlinear inequalities

Q. H. Ansari; Ngai Ching Wong; Jen Chih Yao

doi:10.1016/S0893-9659(99)00062-2

The existence of nonlinear inequalities

Q. H. Ansari^*
, Ngai Ching Wong
, Jen Chih Yao

^*Corresponding author for this work

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

59 Scopus citations

Abstract

The object of this paper is to establish an existence result for nonlinear inequalities for not necessarily pseudomonotone maps. As a consequence of our result, we give some existence results for variational and variational-like inequalities.

Original language	English
Pages (from-to)	89-92
Number of pages	4
Journal	Applied Mathematics Letters
Volume	12
Issue number	5
DOIs	https://doi.org/10.1016/S0893-9659(99)00062-2
State	Published - Jul 1999
Externally published	Yes

Keywords

Fixed points
Nonlinear inequalities
Variational inequality problems
Variational-like inequality problems

ASJC Scopus subject areas

Applied Mathematics

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10.1016/S0893-9659(99)00062-2

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title = "The existence of nonlinear inequalities",

abstract = "The object of this paper is to establish an existence result for nonlinear inequalities for not necessarily pseudomonotone maps. As a consequence of our result, we give some existence results for variational and variational-like inequalities.",

keywords = "Fixed points, Nonlinear inequalities, Variational inequality problems, Variational-like inequality problems",

author = "Ansari, \{Q. H.\} and Wong, \{Ngai Ching\} and Yao, \{Jen Chih\}",

year = "1999",

month = jul,

doi = "10.1016/S0893-9659(99)00062-2",

language = "English",

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pages = "89--92",

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T1 - The existence of nonlinear inequalities

AU - Ansari, Q. H.

AU - Wong, Ngai Ching

AU - Yao, Jen Chih

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Y1 - 1999/7

N2 - The object of this paper is to establish an existence result for nonlinear inequalities for not necessarily pseudomonotone maps. As a consequence of our result, we give some existence results for variational and variational-like inequalities.

AB - The object of this paper is to establish an existence result for nonlinear inequalities for not necessarily pseudomonotone maps. As a consequence of our result, we give some existence results for variational and variational-like inequalities.

KW - Fixed points

KW - Nonlinear inequalities

KW - Variational inequality problems

KW - Variational-like inequality problems

UR - https://www.scopus.com/pages/publications/0001796276

U2 - 10.1016/S0893-9659(99)00062-2

DO - 10.1016/S0893-9659(99)00062-2

M3 - Article

AN - SCOPUS:0001796276

SN - 0893-9659

VL - 12

SP - 89

EP - 92

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 5

ER -

The existence of nonlinear inequalities

Abstract

Keywords

ASJC Scopus subject areas

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Cite this