TY - JOUR
ID - 23831
TI - A generalization of Kannan and Chatterjea fixed point theorems on complete $b$-metric spaces
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Faraji, Hamid
AU - Nourouzi, Kourosh
AD - Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.
AD - Faculty of Mathematics, K. N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran.
Y1 - 2017
PY - 2017
VL - 06
IS - 1
SP - 77
EP - 86
KW - $b$-metric space
KW - Common fixed point
KW - Altering distance function
DO - 10.22130/scma.2017.23831
N2 - In this paper, we give some results on the common fixed point of self-mappings defined on complete $b$-metric spaces. Our results generalize Kannan and Chatterjea fixed point theorems on complete $b$-metric spaces. In particular, we show that two self-mappings satisfying a contraction type inequality have a unique common fixed point. We also give some examples to illustrate the given results.
UR - http://scma.maragheh.ac.ir/article_23831.html
L1 - http://scma.maragheh.ac.ir/article_23831_6c258f4180145f5370b887cf815cd897.pdf
ER -