A New Kind of Nonlinear Quasicontractions in Metric Spaces

Nicolae-Adrian Secelean
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Nicolae-Adrian Secelean: Department of Mathematics and Computer Science, Lucian Blaga University of Sibiu, 550012 Sibiu, Romania

Mathematics, 2020, vol. 8, issue 5, 1-10

Abstract: Starting from two extensions of the Banach contraction principle due to Ćirić (1974) and Wardowski (2012), in the present paper we introduce the concepts of Ćirić type ψ F -contraction and ψ F -quasicontraction on a metric space and give some sufficient conditions under which the respective mappings are Picard operators. Some known fixed point results from the literature can be obtained as particular cases.

Keywords: Ćirić type ψ F-contraction; ψ F-quasicontraction; Picard Operator; fixed point; orbit (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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