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

Published online by Cambridge University Press:  17 April 2009

Qamrul Hasan Ansari  and
Jen-Chih Yao
Qamrul Hasan Ansari
Affiliation:
Department of MathematicsAligarh Muslim UniversityAligarh - 202 002, India
Jen-Chih Yao
Affiliation:
Department of Applied MathematicsNational Sun Yat-sen UniversityKaohsiung 804, Taiwan, Republic of China
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Abstract

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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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 59 , Issue 3 , June 1999 , pp. 433 - 442
Copyright
Copyright © Australian Mathematical Society 1999

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