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

Abstract

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.

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Correspondence to Ravi P Agarwal.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Agarwal, R.P., O'Regan, D. & Liu, X. A Leray-Schauder alternative for weakly-strongly sequentially continuous weakly compact maps. Fixed Point Theory Appl 2005, 708016 (2005). https://doi.org/10.1155/FPTA.2005.1

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  • DOI: https://doi.org/10.1155/FPTA.2005.1