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Two fixed point theorems and invariant integrals

Published online by Cambridge University Press:  17 April 2009

T.J. Cooper  and
J.H. Michael
T.J. Cooper
Affiliation:
Department of Pure Mathematics, University of Adelaide, Adelaide, South Australia.
J.H. Michael
Affiliation:
Department of Pure Mathematics, University of Adelaide, Adelaide, South Australia.
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Abstract

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Two fixed point theorems for a subset C of a normed vector space X are established by using the concept of centre. These results differ from previous fixed point theorems in that X is assumed to have a topology T as well as a norm. The norm is required to be lower semi-continuous with respect to T and C is required to be convex, bounded with respect to the norm and compact with respect to T.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 11 , Issue 1 , August 1974 , pp. 15 - 30
Copyright
Copyright © Australian Mathematical Society 1974

References

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