an:06024305
Zbl 1237.54043
Aydi, Hassen; Damjanovi??, Bo??ko; Samet, Bessem; Shatanawi, Wasfi
Coupled fixed point theorems for nonlinear contractions in partially ordered \(G\)-metric spaces
EN
Math. Comput. Modelling 54, No. 9-10, 2443-2450 (2011).
00286203
2011
j
54H25 54F05 54E40
\(G\)-metric space; ordered set; coupled coincidence point; coupled common fixed point; mixed monotone property
Summary: We prove coupled coincidence and coupled common fixed point theorems for mixed \(g\)-monotone mappings satisfying nonlinear contraction conditions in partially ordered \(G\)-metric spaces. The theorems presented are generalizations of the very recent results of \textit{B. S. Choudhury} and \textit{P. Maity} [Math. Comput. Modelling 54, No.~1--2, 73--79 (2011; Zbl 1225.54016)].
Zbl 1225.54016