TY - JOUR
T1 - Fixed Point Results on $b$-Metric Space via Picard Sequences and $b$-Simulation Functions
TT -
JF - IJMSI
JO - IJMSI
VL - 11
IS - 1
UR - http://ijmsi.ir/article-1-684-en.html
Y1 - 2016
SP - 123
EP - 136
KW - $b$-Metric space
KW - Partial order
KW - Nonlinear contraction
KW - Fixed point
KW - $b$-Simulation function.
N2 - In a recent paper, Khojasteh emph{et al.} [F. Khojasteh, S. Shukla, S. Radenovi'c, A new approach to the study of fixed point theorems via simulation functions, Filomat, 29 (2015), 1189-–1194] presented a new class of simulation functions, say $mathcal{Z}$-contractions, with unifying power over known contractive conditions in the literature. Following this line of research, we extend and generalize their results on a $b$-metric context, by giving a new notion of $b$-simulation function. Then, we prove and discuss some fixed point results in relation with existing ones.
M3 10.7508/ijmsi.2016.01.011
ER -