Title of article
Fixed Point Results on b-Metric Space via Picard Sequences and b-Simulation Functions
Author/Authors
Demma ، Marta Dipartimento di Matematica e Informatica - Universita degli Studi di Palermo , Saadati ، Reza Iran University of Science and Technology , Vetro ، Pasquale Universit`a degli Studi di Palermo
From page
123
To page
136
Abstract
In a recent paper, Khojasteh et al. [F. Khojasteh, S. Shukla, S. Radenovic, 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 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
Journal title
Iranian Journal of Mathematical Sciences and Informatics (IJMSI)
Journal title
Iranian Journal of Mathematical Sciences and Informatics (IJMSI)
Record number
2505999
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