Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 243716, 20 pages
doi:10.1155/2010/243716
Research Article

Browder-Krasnoselskii-Type Fixed Point Theorems in Banach Spaces

Ravi P. Agarwal,1,2 Donal O'Regan,3 and Mohamed-Aziz Taoudi4

1Department of Mathematical Sciences, Florida Institute of Technology, 150 West University Boulevard, Melbourne, FL 32901, USA
2Mathematics and Statistics Department, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia
3Department of Mathematics, National University of Ireland, Galway, Ireland
4Laboratoire de Mathématiques et de Dynamique de Populations, Université Cadi Ayyad, Marrakech, Morocco

Received 29 January 2010; Accepted 6 July 2010

Academic Editor: Hichem Ben-El-Mechaiekh

Copyright © 2010 Ravi P. Agarwal et al. 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.

Abstract

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