Volume 11, Issue 1 (4-2016)
IJMSI 2016, 11(1): 123-136 |
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Demma M, Saadati R, Vetro P. Fixed Point Results on $b$-Metric Space via Picard Sequences and $b$-Simulation Functions. IJMSI 2016; 11 (1) :123-136
URL: http://ijmsi.ir/article-1-684-en.html
URL: http://ijmsi.ir/article-1-684-en.html
Abstract:
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.
Keywords: $b$-Metric space, Partial order, Nonlinear contraction, Fixed point, $b$-Simulation function.
Type of Study: Research paper |
Subject:
Special
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