Single and Multivalued Extended Interpolative Berinde Weak Type F-Contraction Mapping Theorem

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

Abstract

In this paper we introduce the notion of an extended interpolative single and multivalued Berinde weak type F-contraction, and obtain some fixed point theorems for such mappings. An example is given to illustrate the main result.

References

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

Karapınar, E., Agarwal, R., & Aydi, H. (2018). Interpolative Reich–Rus–Ćirić type contractions on partial metric spaces. Mathematics, 6(256), 1–7. https://doi.org/10.3390/math6110256

Karapınar, E., Alqahtani, O., & Aydi, H. (2018). On interpolative Hardy–Rogers type contractions. Symmetry, 11(8), 1–7. https://doi.org/10.3390/sym11010008

Wardowski, D. (2012). Fixed points of a new type of contractive mappings in complete metric spaces. Fixed Point Theory and Applications, 2012(94), 1–6. https://doi.org/10.1186/1687-1812-2012-94

Mohammadi, B., Parvaneh, V., & Aydi, H. (2019). On extended interpolative Ćirić–Reich–Rus type F-contractions and an application. Journal of Inequalities and Applications, 2019, 1–11. https://doi.org/10.1186/s13660-019-2227-z

Yildirim, İ. (2022). On extended interpolative single and multivalued F-contractions. Turkish Journal of Mathematics, 46, 688–698. https://doi.org/10.55730/1300-0098.3116

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
2025-09-15
How to Cite
Ampadu, C. B. (2025). Single and Multivalued Extended Interpolative Berinde Weak Type F-Contraction Mapping Theorem. Earthline Journal of Mathematical Sciences, 15(6), 1063-1069. https://doi.org/10.34198/ejms.15625.10631069
Section
Articles