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Common coupled fixed points of generalized contractive mappings in partially ordered metric spaces

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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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Authors and Affiliations

  1. Department of Mathematics and Applied Mathematics, University Pretoria, Lynnwood road, Pretoria, 0002, South Africa

    Mujahid Abbas

  2. Department of Mathematics, Lahore University of Management Sciences, Lahore, 54792, Pakistan

    Talat Nazir

  3. Faculty of Mechanical Engineering, Kraljice Marije 16, 11 120 , Beograd, Serbia

    Stojan Radenović

Authors
  1. Mujahid Abbas
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  2. Talat Nazir
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  3. Stojan Radenović
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Correspondence to Stojan Radenović.

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Abbas, M., Nazir, T. & Radenović, S. Common coupled fixed points of generalized contractive mappings in partially ordered metric spaces. Positivity 17, 1021–1041 (2013). https://doi.org/10.1007/s11117-012-0219-z

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  • DOI: https://doi.org/10.1007/s11117-012-0219-z

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