Interpolative Berinde Weak Cyclic Contraction Mapping Principle

  • Clement Boateng Ampadu 31 Carrolton Road, Boston, MA 02132-6303, USA
Keywords: interpolative Berinde weak operator, cyclic mapping, metric space

Abstract

In this paper we introduce the notion of an interpolative Berinde weak cyclic operator. Additionally, we prove the existence and uniqueness of fixed point for such operators in metric space.

References

Kirk, W. A., Srinivasan, P. S., & Veeramani, P. (2003). Fixed points for mapping satisfying cyclic contractive conditions. Fixed Point Theory, 4, 79-89.

Karapınar, E. (2012). Best proximity points of cyclic mappings. Applied Mathematics Letters, 25, 1761-1766. https://doi.org/10.1016/j.aml.2012.02.008

Karapınar, E., & Erhan, I. M. (2011). Best proximity point on different type contractions. Applied Mathematics & Information Sciences, 5(3), 558-569.

Edraoui, M., El Koufi, A., & Semami, S. (2023). Fixed points results for various types of interpolative cyclic contraction. Applied General Topology, 24(2), 247-252. https://doi.org/10.4995/agt.2023.19515

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
2025-01-20
How to Cite
Ampadu, C. B. (2025). Interpolative Berinde Weak Cyclic Contraction Mapping Principle. Earthline Journal of Mathematical Sciences, 15(2), 235-238. https://doi.org/10.34198/ejms.15225.235238
Section
Articles

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