Journal of Applied Mathematics
Volume 2013 (2013), Article ID 621614, 6 pages
http://dx.doi.org/10.1155/2013/621614
Research Article

Fixed Points of Multivalued Nonself Almost Contractions

Maryam A. Alghamdi,1 Vasile Berinde,2 and Naseer Shahzad3

1Department of Mathematics, Sciences Faculty for Girls, King Abdulaziz University, P.O. Box 4087, Jeddah 21491, Saudi Arabia
2Department of Mathematics and Computer Science, North University of Baia Mare, Baia Mare, Romania
3Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21859, Saudi Arabia

Received 29 March 2013; Accepted 20 May 2013

Academic Editor: Wei-Shih Du

Copyright © 2013 Maryam A. Alghamdi 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 consider multivalued nonself-weak contractions on convex metric spaces and establish the existence of a fixed point of such mappings. Presented theorem generalizes results of M. Berinde and V. Berinde (2007), Assad and Kirk (1972), and many others existing in the literature.