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 Gajić_and Vladimir Rakočević

 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 Niš, Višegradska 33, Niš 18000, Serbia and Montenegro
Received 29 September 2004; Revised 24 January 2005

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.