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Best Proximity Point Theorems for Two Weak Cyclic Contractions on Metric-Like Spaces

Author

Listed:
  • Erdal Karapınar

    (Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan)

  • Chi-Ming Chen

    (Institute for Computational and Modeling Science, National Tsing Hua University, 521 Nan-Dah Road, Hsinchu City 30013, Taiwan)

  • Chih-Te Lee

    (Institute for Computational and Modeling Science, National Tsing Hua University, 521 Nan-Dah Road, Hsinchu City 30013, Taiwan)

Abstract

In this paper, we establish two best proximity point theorems in the setting of metric-like spaces that are based on cyclic contraction: Meir–Keeler–Kannan type cyclic contractions and a generalized Ćirić type cyclic φ -contraction via the MT -function. We express some examples to indicate the validity of the presented results. Our results unify and generalize a number of best proximity point results on the topic in the corresponding recent literature.

Suggested Citation

  • Erdal Karapınar & Chi-Ming Chen & Chih-Te Lee, 2019. "Best Proximity Point Theorems for Two Weak Cyclic Contractions on Metric-Like Spaces," Mathematics, MDPI, vol. 7(4), pages 1-11, April.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:4:p:349-:d:222698
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    Citations

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    Cited by:

    1. Erdal Karapınar & Ravi P. Agarwal & Seher Sultan Yeşilkaya & Chao Wang, 2022. "Fixed-Point Results for Meir–Keeler Type Contractions in Partial Metric Spaces: A Survey," Mathematics, MDPI, vol. 10(17), pages 1-76, August.
    2. Hamed H Al-Sulami & Nawab Hussain & Jamshaid Ahmad, 2019. "Best Proximity Results with Applications to Nonlinear Dynamical Systems," Mathematics, MDPI, vol. 7(10), pages 1-20, September.

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