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Common fixed points of generalized contractions on partial metric spaces and an application |
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| Authors: | Ljubomir ?iri? Bessem Samet |
| Affiliation: | a Faculty of Mechanical Engineering, Kraljice Marije 16, Belgrade, Serbia b Université de Tunis, Ecole Supérieure des Sciences et Techniques de Tunis, 5, Avenue Taha Hussein-Tunis, BP 56, Bab Menara-1008, Tunisia c Université de Monastir, Institut Supérieur d’Informatique de Mahdia, Route de Réjiche, Km 4 BP 35, Mahdia 5121, Tunisia d University of Palermo, Department of Mathematics and Informatics, Via Archirafi 34, 90123 Palermo, Italy |
| 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. |
| Keywords: | Coincidence point Common fixed point Partial metric space Weakly compatible pair of mappings Homotopy |
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