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Open Access

A Leray-Schauder alternative for weakly-strongly sequentially continuous weakly compact maps

Fixed Point Theory and Applications20052005:708016

Received: 23 June 2004

Published: 28 April 2005


A new applicable Leray-Schauder alternative is presented for weakly-strongly sequentially continuous maps. This result is then used to establish a general existence principle for operator equations.

Authors’ Affiliations

Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, USA
Department of Mathematics, National University of Ireland, Galway, Ireland
Department of Applied Mathematics, University of Waterloo, Canada


© Agarwal et al. 2005