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

179 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

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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",

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AU - Yao, Jen Chih

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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 - https://www.scopus.com/pages/publications/0040958784

U2 - 10.1017/s0004972700033116

DO - 10.1017/s0004972700033116

M3 - Article

AN - SCOPUS:0040958784

SN - 0004-9727

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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

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