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Coupled common fixed point theorems for w-compatible mappings in ordered cone metric spaces |
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| Authors: | Hemant Kumar Nashine Zoran Kadelburg Stojan Radenovi? |
| Institution: | a Department of Mathematics, Disha Institute of Management and Technology, Satya Vihar, Vidhansabha-Chandrakhuri Marg, Mandir Hasaud, Raipur 492101, Chhattisgarh, India b University of Belgrade, Faculty of Mathematics, Studentski trg 16, 11000 Beograd, Serbia c University of Belgrade, Faculty of Mechanical Engineering, Kraljice Marije 16, 11120 Beograd, Serbia |
| Abstract: | We establish coupled coincidence point results for mixed g-monotone mappings under general contractive conditions in partially ordered cone metric spaces over solid cones. We also present results on existence and uniqueness of coupled common fixed points. Our results generalize, extend and unify several well known comparable results in the literature. To illustrate our results and to distinguish them from the earlier ones, we equip the paper with examples. |
| Keywords: | Cone metric space Coupled common fixed point Coupled coincidence point w&lowast -compatible maps Mixed g-monotone property Partially ordered set |
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