Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 390183, 7 pages
doi:10.1155/2010/390183
Fixed point theorems for set-valued contraction type maps in metric spaces
A. Amini-Harandi1
and D. O'Regan2
1Department of Mathematics, University of Shahrekord, Shahrekord, 88186-34141, Iran
2Department of Mathematics, National University of Ireland, Galway, Ireland
Abstract
We first give some fixed point results for set-valued self-map contractions in complete metric spaces. Then we derive a fixed point theorem for nonself set-valued contractions which are metrically inward. Our results generalize many well-known results in the literature.