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Common coupled fixed points of generalized contractive mappings in partially ordered metric spaces |
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| Authors: | Mujahid Abbas Talat Nazir Stojan Radenovi? |
| Institution: | 1. Department of Mathematics and Applied Mathematics, University Pretoria, Lynnwood road, Pretoria, 0002, South Africa 2. Department of Mathematics, Lahore University of Management Sciences, Lahore, 54792, Pakistan 3. Faculty of Mechanical Engineering, Kraljice Marije 16, 11 120, Beograd, Serbia |
| Abstract: | In this paper, we introduce the concept of a $w^{*}$ -compatible mappings to obtain coupled coincidence point and coupled common fixed points of nonlinear contractive mappings in partially ordered metric spaces. Our results generalize, extend, unify, enrich and complement various comparable results in the existing literature. |
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