Wardowski Type Characterization of the Interpolative Kannan Fixed Point Theorem
Abstract
In [1], Wardowski introduced the F-contraction, and used it to prove the Banach contraction mapping theorem. In this paper, we introduce a concept of F-interpolative Kannan contraction, and use it prove the interpolative Kannan contraction mapping theorem of [2].
References
Wardowski, D. (2012). Fixed points of a new type of contractive mappings in complete metric spaces. Fixed Point Theory and Applications, 2012, Article 94. https://doi.org/10.1186/1687-1812-2012-94
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
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
Ampadu, C. B. (2021). Wardowski type characterization of the interpolative Berinde weak fixed point theorem. Earthline Journal of Mathematical Sciences, 5(2), 411-414. https://doi.org/10.34198/ejms.5221.411414
This work is licensed under a Creative Commons Attribution 4.0 International License.
.jpg){kind=logo}
