A fixed point theorem and its applications to a system of variational inequalities

Qamrul Hasan Ansari; Jen Chih Yao

doi:10.1017/s0004972700033116

A fixed point theorem and its applications to a system of variational inequalities

Qamrul Hasan Ansari^*, Jen Chih Yao

^*Corresponding author for this work

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

176 Scopus citations

Abstract

In this paper, we first prove a fixed point theorem for a family of multivalued maps defined on product spaces. We then apply our result to prove an equilibrium existence theorem for an abstract economy. We also consider a system of variational inequalities and prove the existence of its solutions by using our fixed point theorem.

Original language	English
Pages (from-to)	433-442
Number of pages	10
Journal	Bulletin of the Australian Mathematical Society
Volume	59
Issue number	3
DOIs	https://doi.org/10.1017/s0004972700033116
State	Published - Jun 1999
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1017/s0004972700033116

Cite this

@article{c6eb1a05a46e451588537c57939e4c8a,

title = "A fixed point theorem and its applications to a system of variational inequalities",

abstract = "In this paper, we first prove a fixed point theorem for a family of multivalued maps defined on product spaces. We then apply our result to prove an equilibrium existence theorem for an abstract economy. We also consider a system of variational inequalities and prove the existence of its solutions by using our fixed point theorem.",

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

year = "1999",

month = jun,

doi = "10.1017/s0004972700033116",

language = "English",

volume = "59",

pages = "433--442",

journal = "Bulletin of the Australian Mathematical Society",

issn = "0004-9727",

number = "3",

}

TY - JOUR

T1 - A fixed point theorem and its applications to a system of variational inequalities

AU - Ansari, Qamrul Hasan

AU - Yao, Jen Chih

PY - 1999/6

Y1 - 1999/6

N2 - In this paper, we first prove a fixed point theorem for a family of multivalued maps defined on product spaces. We then apply our result to prove an equilibrium existence theorem for an abstract economy. We also consider a system of variational inequalities and prove the existence of its solutions by using our fixed point theorem.

AB - In this paper, we first prove a fixed point theorem for a family of multivalued maps defined on product spaces. We then apply our result to prove an equilibrium existence theorem for an abstract economy. We also consider a system of variational inequalities and prove the existence of its solutions by using our fixed point theorem.

UR - http://www.scopus.com/inward/record.url?scp=0040958784&partnerID=8YFLogxK

U2 - 10.1017/s0004972700033116

DO - 10.1017/s0004972700033116

M3 - Article

AN - SCOPUS:0040958784

SN - 0004-9727

VL - 59

SP - 433

EP - 442

JO - Bulletin of the Australian Mathematical Society

JF - Bulletin of the Australian Mathematical Society

IS - 3

ER -

A fixed point theorem and its applications to a system of variational inequalities

Abstract

ASJC Scopus subject areas

Access to Document

Fingerprint

Cite this