International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 19, Pages 3045-3055
doi:10.1155/IJMMS.2005.3045
Common fixed points of single-valued and multivalued maps
Yicheng Liu1
, Jun Wu2
and Zhixiang Li1
1Department of Mathematics and System Sciences, College of Science, National University of Defense Technology, Changsha 410073, China
2College of Mathematics and Econometrics, Hunan University, Changsha 410082, China
Abstract
We define a new property which contains the property (EA) for a hybrid pair of single- and multivalued maps and give some new common fixed point theorems under hybrid contractive conditions. Our results extend previous ones. As an application, we give a partial answer to the problem raised by Singh and Mishra.