Volume 11, Issue 1 (4-2016)                   IJMSI 2016, 11(1): 123-136 | Back to browse issues page

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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.

Type of Study: Research paper | Subject: Special