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Fixed Point Theory and Applications 
Volume 2004 (2004), Issue 1, Pages 13-20
doi:10.1155/S1687182004311046

Fixed point theory on extension-type spaces and essential maps on topological spaces

Donal O'Regan

Department of Mathematics, National University of Ireland, Galway, Ireland

Received 19 November 2003

Abstract

We present several new fixed point results for admissible self-maps in extension-type spaces. We also discuss a continuation-type theorem for maps between topological spaces.