Common Fixed Point Theorem for Berinde Weak Type Contraction Via Interpolation

  • Clement Boateng Ampadu 31 Carrolton Road, Boston, MA 02132-6303, USA
Keywords: common fixed point theorem, Berinde weak contraction, interpolation

Abstract

In this paper, we introduce the notion of an interpolative Berinde weak pair contraction, and obtain a common fixed point theorem in the setting of metric spaces. We illustrate the main result of the paper with an example.

References

Kannan, R. (1968). Some results on fixed point. Bulletin of the Calcutta Mathematical Society, 60, 71-76.

Karapınar, E. (2018). Revisiting the Kannan type contractions via interpolation. Advances in the Theory of Nonlinear Analysis and its Applications, 2(2), 85-87. https://doi.org/10.31197/atnaa.431135

Noorwali, M. (2018). Common fixed point theorem for Kannan type contraction via interpolation. Journal of Mathematical Analysis, 9(6), 92-94.

Edraoui, M., & Aamri, M. (2024). Common fixed point of interpolative Hardy-Rogers pair contraction. Filomat, 38(17), 6169-6175. https://doi.org/10.2298/FIL2417169E

Ampadu, C. B. (2020). Some fixed point theory results for the interpolative Berinde weak operator. Earthline Journal of Mathematical Sciences, 4(2), 253-271. https://doi.org/10.34198/ejms.4220.253271

Published
2025-09-14
How to Cite
Ampadu, C. B. (2025). Common Fixed Point Theorem for Berinde Weak Type Contraction Via Interpolation. Earthline Journal of Mathematical Sciences, 15(6), 1037-1041. https://doi.org/10.34198/ejms.15625.10371041
Section
Articles