Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 183596, 13 pages
doi:10.1155/2010/183596
Research Article

Fixed Point Theorems for ws-Compact Mappings 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
4Université Cadi Ayyad, Laboratoire de Mathématiques et de Dynamique de Populations, Marrakech, Morocco

Received 17 August 2010; Revised 21 October 2010; Accepted 4 November 2010

Academic Editor: Jerzy Jezierski

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 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.