%0 Journal Article
%A Demma, M.
%A Saadati, R.
%A Vetro, P.
%T Fixed Point Results on $b$-Metric Space via Picard Sequences and $b$-Simulation Functions
%J Iranian Journal of Mathematical Sciences and Informatics
%V 11
%N 1
%U http://ijmsi.ir/article-1-684-en.html
%R 10.7508/ijmsi.2016.01.011
%D 2016
%K $b$-Metric space, Partial order, Nonlinear contraction, Fixed point, $b$-Simulation function.,
%X 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.
%> http://ijmsi.ir/article-1-684-en.pdf
%P 123-136
%& 123
%!
%9 Research paper
%L A-10-568-1
%+ Iran University of Science and Technology
%G eng
%@ 1735-4463
%[ 2016