TY - JOUR
T1 - Certain Fixed Point Theorems and Application to the Fractal Space
AU - Ji , You-Qing
AU - Ri , Song-Il
JO - Communications in Mathematical Research 
VL - 2
SP - 180
EP - 192
PY - 2021
DA - 2021/05
SN - 31
DO - http://doi.org/10.13447/j.1674-5647.2015.02.09
UR - https://global-sci.org/intro/article_detail/cmr/18941.html
KW - fixed point, generalized contraction, Hausdorff distance, fractal, topological equivalence.
AB - <p style="text-align: justify;">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.</p>