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N fixed point theorems and N best proximity point theorems for generalized contraction in partially ordered metric spaces

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Abstract

The purpose of this paper is to prove the n fixed point theorems and n best proximity point theorems for generalized contraction in partially ordered metric spaces. We firstly investigate the n fixed point theorems. And on this basis, we obtain the n best proximity point theorems using P-operator technique. Many recent results in this area have been generalized and improved.

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Acknowledgements

Author Jingling Zhang gratefully acknowledges the financial support from the China Scholarship Council.

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Authors and Affiliations

  1. Department of Mathematics, Tianjin University, Tianjin, 300350, People’s Republic of China

    Jingling Zhang & Nan Jiang

  2. Department of Mathematics, Texas A&M University-Kingsville, Texas, 78363, USA

    Ravi P. Agarwal

  3. School of Mechanical Engineering, Tianjin University, Tianjin, 300350, People’s Republic of China

    Nan Jiang

Authors
  1. Jingling Zhang
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  2. Ravi P. Agarwal
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  3. Nan Jiang
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Correspondence to Jingling Zhang.

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Zhang, J., Agarwal, R.P. & Jiang, N. N fixed point theorems and N best proximity point theorems for generalized contraction in partially ordered metric spaces. J. Fixed Point Theory Appl. 20, 18 (2018). https://doi.org/10.1007/s11784-018-0505-x

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  • DOI: https://doi.org/10.1007/s11784-018-0505-x

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