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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 |
| Institution: | 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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