Fixed Point Theory and Applications
Volume 2008 (2008), Article ID 131294, 11 pages
doi:10.1155/2008/131294
Monotone generalized nonlinear contractions in partially ordered metric spaces
Ljubomir Ćirić1
, Nenad Cakić2
, Miloje Rajović3
and Jeong Sheok Ume4
1Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11 000 Belgrade, Serbia
2Faculty of Electrical Engineering, University of Belgrade, Boulevard Kralja Aleksandra 73, 11 000 Belgrade, Serbia
3Faculty of Mechanical Engineering, University of Kragujevac, Dositejeva 19, 36 000 Kraljevo, Serbia
4Department of Applied Mathematics, Changwon National University, Changwon 641-773, South Korea
Abstract
A concept of g-monotone mapping is introduced, and some fixed and common fixed point theorems for g-non-decreasing generalized nonlinear contractions in partially ordered complete metric spaces are proved. Presented theorems are generalizations of very recent fixed point theorems due to Agarwal et al. (2008).