Vol. 19(2018) No. 1

 

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  Fixed point theorems for various types of F-contractions in complete b-metric spaces
 
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Fixed Point Theory, Volume 19, No. 1, 2018, 321-334, February 1st, 2018

DOI: 10.24193/fpt-ro.2018.1.25

Authors: A. Lukács and S. Kajántó

Abstract: We generalize various types of F-contractions defined by Wardowski, Vetro and others to b-metric spaces and prove fixed point theorems for them. The examples given show that these generalizations extend the existing results in a significant way.

Key Words and Phrases: F-contractions, b-metric spaces, fixed point theorems.

2010 Mathematics Subject Classification: 47H09, 47H10, 54E50, 54H25.

Published on-line: February 1st, 2018.

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