Commun. Math. Res., 31 (2015), pp. 180-192.
Published online: 2021-05
Cited by
- BibTex
- RIS
- TXT
In this paper, we present some important generalizations of the Banach contraction principle, in which the Lipschitz constant $k$ is replaced by some real-valued control function. For the applications to the fractal space, we obtain the fixed point theorem of the some generalized contraction in the space of fractals.
}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2015.02.09}, url = {http://global-sci.org/intro/article_detail/cmr/18941.html} }In this paper, we present some important generalizations of the Banach contraction principle, in which the Lipschitz constant $k$ is replaced by some real-valued control function. For the applications to the fractal space, we obtain the fixed point theorem of the some generalized contraction in the space of fractals.