an:05534750
Zbl 1158.54019
??iri??, Ljubomir; Caki??, Nenad; Rajovi??, Miloje; Ume, Jeong Sheok
Monotone generalized nonlinear contractions in partially ordered metric spaces
EN
Fixed Point Theory Appl. 2008, Article ID 131294, 11 p. (2008).
00228723
2008
j
54H25
Summary: 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 \textit{R. P. Agarwal, M. A. El--Gebeily}, and \textit{D. O'Regan} [Appl. Anal. 87, No. 1, 109--116 (2008; Zbl 1140.47042)].
Zbl 1140.47042