AU - Demma, M.
AU - Saadati, R.
AU - Vetro, P.
TI - Fixed Point Results on $b$-Metric Space via Picard Sequences and $b$-Simulation Functions
PT - JOURNAL ARTICLE
TA - IJMSI
JN - IJMSI
VO - 11
VI - 1
IP - 1
4099 - http://ijmsi.ir/article-1-684-en.html
4100 - http://ijmsi.ir/article-1-684-en.pdf
SO - IJMSI 1
ABĀ - 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.
CP - IRAN
IN - Department of Mathematics, Iran University of Science and Technology, Tehran, Iran.
LG - eng
PB - IJMSI
PG - 123
PT - Research paper
YR - 2016