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Proximity Point Results for Generalized p -Cyclic Reich Contractions: An Application to Solving Integral Equations

Author

Listed:
  • Hind Alamri

    (Department of Mathematics, Faculty of Science, Taif University, P.O. Box 888, Taif 21974, Saudi Arabia)

  • Nawab Hussain

    (Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia)

  • Ishak Altun

    (Department of Mathematics, Faculty of Enginearing and Natural Science, Kirikkale University, Kirikkale 71450, Turkey)

Abstract

This article studies new classes of contractions called the p -cyclic Reich contraction and p -cyclic Reich contraction pair and develops certain best proximity point results for such contractions in the setting of partial metric spaces. Furthermore, the best proximity point results for p -proximal cyclic Reich contractions of the first and second types are also discussed.

Suggested Citation

  • Hind Alamri & Nawab Hussain & Ishak Altun, 2023. "Proximity Point Results for Generalized p -Cyclic Reich Contractions: An Application to Solving Integral Equations," Mathematics, MDPI, vol. 11(23), pages 1-25, November.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:23:p:4832-:d:1291539
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    References listed on IDEAS

    as
    1. S. Sadiq Basha, 2011. "Best proximity points: global optimal approximate solutions," Journal of Global Optimization, Springer, vol. 49(1), pages 15-21, January.
    2. N. Shahzad & S. Sadiq Basha & R. Jeyaraj, 2011. "Common Best Proximity Points: Global Optimal Solutions," Journal of Optimization Theory and Applications, Springer, vol. 148(1), pages 69-78, January.
    3. S. Sadiq Basha, 2011. "Best Proximity Points: Optimal Solutions," Journal of Optimization Theory and Applications, Springer, vol. 151(1), pages 210-216, October.
    4. Tharmalingam Gunasekar & Saravanan Karpagam & Boyan Zlatanov, 2018. "On p -Cyclic Orbital M-K Contractions in a Partial Metric Space," Mathematics, MDPI, vol. 6(7), pages 1-11, July.
    Full references (including those not matched with items on IDEAS)

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