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Common fixed point theorems under generalized \(\mathcal {W}\)-weakly contractive condition in ordered orbitally complete metric spaces

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Abstract

We propose common fixed point results for two pairs of partially weakly increasing mappings in an ordered orbitally complete metric space under a generalized rational-type \(\mathcal {W}\)-weakly contractive condition. As an application, an existence result for certain systems of integral equations is presented.

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Acknowledgments

Z. Kadelburg is thankful to the Ministry of Education, Science and Technological Development of Serbia, Grant No. 174002.

Conflict of interest

The authors declare that they have no competing interests.

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Authors and Affiliations

  1. Department of Mathematics, Disha Institute of Management and Technology, Satya Vihar, Vidhansabha-Chandrakhuri Marg, Mandir Hasaud, Raipur, 492101, Chhattisgarh, India

    Hemant Kumar Nashine

  2. Faculty of Mathematics, University of Belgrade, Belgrade, Serbia

    Zoran Kadelburg

Authors
  1. Hemant Kumar Nashine
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  2. Zoran Kadelburg
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Correspondence to Zoran Kadelburg.

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Nashine, H.K., Kadelburg, Z. Common fixed point theorems under generalized \(\mathcal {W}\)-weakly contractive condition in ordered orbitally complete metric spaces. Afr. Mat. 27, 297–312 (2016). https://doi.org/10.1007/s13370-015-0340-9

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  • DOI: https://doi.org/10.1007/s13370-015-0340-9

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