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Applicable Analysis
An International Journal
Volume 87, 2008 - Issue 5
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Original Articles

Fixed point theory for compact absorbing contractive admissible type maps

Ravi P. Agarwal Department of Mathematical Science, Florida Institute of Technology, Melbourne, Florida, USACorrespondence[email protected]
&
Donal O'Regan Department of Mathematics, National University of Ireland, Galway, Ireland
Pages 497-508 | Received 02 Dec 2007, Accepted 02 Dec 2007, Published online: 28 Jul 2008
 
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Abstract

In this article we present new Lefschetz fixed point theorems for compact absorbing contractive admissible maps between Fréchet spaces. Also, we discuss condensing maps with a compact attractor. Finally we present new antipodal fixed point theory for Kakutani maps.

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