Open Access

Fixed Point Theorems for ws-Compact Mappings in Banach Spaces

Fixed Point Theory and Applications20102010:183596

https://doi.org/10.1155/2010/183596

Received: 17 August 2010

Accepted: 4 November 2010

Published: 24 November 2010

Abstract

We present new fixed point theorems for ws-compact operators. Our fixed point results are obtained under Sadovskii, Leray-Schauder, Rothe, Altman, Petryshyn, and Furi-Pera type conditions. An example is given to show the usefulness and the applicability of our results.

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Authors’ Affiliations

(1)
Department of Mathematical Sciences, Florida Institute of Technology
(2)
Mathematics and Statistics Department, King Fahd University of Petroleum and Minerals
(3)
Department of Mathematics, National University of Ireland
(4)
Université Cadi Ayyad, Laboratoire de Mathématiques et de Dynamique de Populations

Copyright

© Ravi P. Agarwal et al. 2010

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.