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A selection theorem and its applications

Published online by Cambridge University Press:  17 April 2009

Xie Ping Ding ,
Won Kyu Kim  and
Kok-Keong Tan
Xie Ping Ding
Affiliation:
Department of Mathematics Sichuan Normal, University Chengdu, Sichuan, China
Won Kyu Kim
Affiliation:
Department of Mathematics Education, Chungbuk National University, Cheongju 360–763, Korea
Kok-Keong Tan
Affiliation:
Department of Mathematics, Statistics and Computing Science, Dalhousie University, Halifax NS, CanadaB3H 3J5
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Abstract

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In this paper, we first prove an improved version of the selection theorem of Yannelis-Prabhakar and next prove a fixed point theorem in a non-compact product space. As applications, an intersection theorem and two equilibrium existence theorems for a non-compact abstract economy are given.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 46 , Issue 2 , October 1992 , pp. 205 - 212
Copyright
Copyright © Australian Mathematical Society 1992

References

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