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Quadruple Best Proximity Points with Applications to Functional and Integral Equations

Author

Listed:
  • Hasanen A. Hammad
  • Rashwan A. Rashwan
  • A. Nafea
  • Fahd Jarad

Abstract

This manuscript is devoted to obtaining a quadruple best proximity point for a cyclic contraction mapping in the setting of ordinary metric spaces. The validity of the theoretical results is also discussed in uniformly convex Banach spaces. Furthermore, some examples are given to strengthen our study. Also, under suitable conditions, some quadruple fixed point results are presented. Finally, as applications, the existence and uniqueness of a solution to a system of functional and integral equations are obtained to promote our paper.

Suggested Citation

  • Hasanen A. Hammad & Rashwan A. Rashwan & A. Nafea & Fahd Jarad, 2022. "Quadruple Best Proximity Points with Applications to Functional and Integral Equations," Advances in Mathematical Physics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jnlamp:v:2022:y:2022:i:1:n:1849891
    DOI: 10.1155/2022/1849891
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    References listed on IDEAS

    as
    1. M. Eshaghi Gordji & Y. J. Cho & S. Ghods & M. Ghods & M. Hadian Dehkordi, 2012. "Coupled Fixed-Point Theorems for Contractions in Partially Ordered Metric Spaces and Applications," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-20, March.
    2. Binayak S. Choudhury & Erdal Karapınar & Amaresh Kundu, 2012. "Tripled Coincidence Point Theorems for Nonlinear Contractions in Partially Ordered Metric Spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-14, July.
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