Open Access

Browder-Krasnoselskii-Type Fixed Point Theorems in Banach Spaces

Fixed Point Theory and Applications20102010:243716

https://doi.org/10.1155/2010/243716

Received: 29 January 2010

Accepted: 6 July 2010

Published: 2 August 2010

Abstract

We present some fixed point theorems for the sum of a weakly-strongly continuous map and a nonexpansive map on a Banach space . Our results cover several earlier works by Edmunds, Reinermann, Singh, and others.

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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)
Laboratoire de Mathématiques et de Dynamique de Populations, Université Cadi Ayyad

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.