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Fixed point theorems for condensing multivalued mappings on a locally convex topological space

Published online by Cambridge University Press:  17 April 2009

E. Tarafdar  and
R. Výborný
E. Tarafdar
Affiliation:
Department of Mathematics, University of Queensland, St Lucia, Queensland.
R. Výborný
Affiliation:
Department of Mathematics, University of Queensland, St Lucia, Queensland.
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Abstract

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A general definition for a measure of nonprecompactness for bounded subsets of a locally convex linear topological space is given. Fixed point theorems for condensing multivalued mappings have been proved. These fixed point theorems are further generalizations of Kakutani's fixed point theorems.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 12 , Issue 2 , April 1975 , pp. 161 - 170
Copyright
Copyright © Australian Mathematical Society 1975

References

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