TY - JOUR
ID - 26524
TI - Fixed and common fixed points for $(\psi,\varphi)$-weakly contractive mappings in $b$-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 - 07
IS - 1
SP - 49
EP - 62
KW - Fixed point
KW - b-Metric space
KW - $(psi
KW - varphi)$-Weakly contractive mapping
KW - Altering distance function
DO - 10.22130/scma.2017.26524
N2 - In this paper, we give a fixed point theorem for $(\psi,\varphi)$-weakly contractive mappings in complete $b$-metric spaces. We also give a common fixed point theorem for such mappings in complete $b$-metric spaces via altering functions. The given results generalize two known results in the setting of metric spaces. Two examples are given to verify the given results.
UR - https://scma.maragheh.ac.ir/article_26524.html
L1 - https://scma.maragheh.ac.ir/article_26524_8a6a402e1e1be61df43bb98824f5b617.pdf
ER -