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Coupled coincidence point theorems in ordered metric spaces

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Abstract

In this paper we extend the coupled contraction mapping theorem proved in partially ordered metric spaces by Gnana Bhaskar and Lakshmikantham (Nonlinear Anal. TMA 65:1379–1393, 2006) to a coupled coincidence point result for a pair of compatible mappings. A control function has been used in our theorem. The mappings are assumed to satisfy a weak contractive inequality. Our theorem improves the results of Harjani et al. (Nonlinear Anal. TMA 74:1749–1760, 2011). The result we have established is illustrated with an example which also shows that the improvement is actual.

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Authors and Affiliations

  1. Department of Mathematics, Bengal Engineering and Science University, Shibpur, Howrah, 711103, West Bengal, India

    Binayak S. Choudhury

  2. Department of Mathematics, Bengal Institute of Technology, Kolkata, 700150, West Bengal, India

    N. Metiya

  3. Department of Mathematics, Siliguri Institute of Technology, Sukna, Darjeeling, 734009, West Bengal, India

    Amaresh Kundu

Authors
  1. Binayak S. Choudhury
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  2. N. Metiya
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  3. Amaresh Kundu
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Correspondence to N. Metiya.

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Choudhury, B.S., Metiya, N. & Kundu, A. Coupled coincidence point theorems in ordered metric spaces. Ann Univ Ferrara 57, 1–16 (2011). https://doi.org/10.1007/s11565-011-0117-5

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