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Some coincidence theorems and applications

Published online by Cambridge University Press:  17 April 2009

Xie Ping Ding  and
E. Tarafdar
Xie Ping Ding
Affiliation:
Department of Mathematics SichunnNormal University Chengdu, SichuanPeople's Republic of China610066
E. Tarafdar
Affiliation:
Department of MathematicsThe University of QueenslandQueensland 4072, Australia
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Abstract

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In this paper, we establish a new coincidence theorem for a Browder type set-valued mapping and an upper semi-continuous set-valued mapping with compact acyclic values in an H-space which generalises some recent results in the literature. As applications we obtain two H a type coincidence theorems and existence theorems of maximal elements for preference correspondences.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 50 , Issue 1 , August 1994 , pp. 73 - 80
Copyright
Copyright © Australian Mathematical Society 1994

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