Common fixed points of generalized contractions on partial metric spaces and an application
- Authors: Ciric, L; Samet, B; Aydi, H; Vetro, C
- Publication year: 2011
- Type: Articolo in rivista (Articolo in rivista)
- Key words: Coincidence point; Common fixed point; Partial metric space; Weakly compatible pair of mappings; Homotopy.
- OA Link: http://hdl.handle.net/10447/60423
Abstract
In this paper, common fixed point theorems for four mappings satisfying a generalized nonlinear contraction type condition on partial metric spaces are proved. Presented theorems extend the very recent results of I. Altun, F. Sola and H. Simsek [Generalized contractions on partial metric spaces, Topology and its applications 157 (18) (2010) 2778–2785]. As application, some homotopy results for operators on a set endowed with a partial metric are given.