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Integral Type Contractions in Partially Ordered Metric Spaces and Best Proximity Point

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Abstract

In this paper, we introduce Banach and Kannan integral type contractions in partially ordered metric spaces and investigate the existence and uniqueness of best proximity points for them. Additionally, we pose two non-trivial examples for our main results.

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Correspondence to Kamal Fallahi.

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Fallahi, K., Ghahramani, H. & Soleimani Rad, G. Integral Type Contractions in Partially Ordered Metric Spaces and Best Proximity Point. Iran J Sci Technol Trans Sci 44, 177–183 (2020). https://doi.org/10.1007/s40995-019-00807-0

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Keywords

  • Proximal mapping
  • Banach integral type contraction
  • Kannan integral type contraction
  • Best proximity point

Mathematics Subject Classification

  • 47H10
  • 54H25