Fixed Point Theorems for Set-Valued Contraction Type Maps in Metric Spaces
1 Department of Mathematics, University of Shahrekord, Shahrekord, 88186-34141, Iran
2 Department of Mathematics, National University of Ireland, Galway, Ireland
Fixed Point Theory and Applications 2010, 2010:390183 doi:10.1155/2010/390183Published: 14 February 2010
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.