Fixed Point Theory and Applications
Volume 2005 (2005), Issue 3, Pages 365-375
doi:10.1155/FPTA.2005.365
Quasicontraction nonself-mappings on convex metric spaces and common fixed point theorems
Ljiljana Gajić1
and Vladimir Rakočević2
1Institute of Mathematics, Faculty of Science, University of Novi Sad, Trg D. Obradovića 4, Novi Sad 21000, Serbia and Montenegro
2Department of Mathematics, Faculty of Sciences and Mathematics, University of Ni {s}, Vi {s}egradska 33, Ni {s} 18000, Serbia and Montenegro
Abstract
We consider quasicontraction nonself-mappings on Takahashi convex metric spaces and common fixed point theorems for a pair of maps. Results generalizing and unifying fixed point theorems of Ivanov, Jungck, Das and Naik, and Ćirić are established.