Generalized F -Contractions on Product of Metric Spaces

Nicolae Adrian Secelean and Mi Zhou
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Nicolae Adrian Secelean: Department of Mathematics and Computer Science, Faculty of Sciences, Lucian Blaga University of Sibiu, 550012 Sibiu, Romania
Mi Zhou: School of Science and Technology, University of Sanya, Hainan 572000, China

Mathematics, 2019, vol. 7, issue 11, 1-8

Abstract: Our purpose in this paper is to extend the fixed point results of a ψ F -contraction introduced by Secelean N.A. and Wardowski D. ( ψ F -Contractions: Not Necessarily Nonexpansive Picard Operators, Results. Math. 70 (3), 415–431 (2016)) defined on a metric space X into itself to the case of mapping defined on the product space X I , where I is a set of positive integers (natural numbers). Some improvements to the conditions imposed on function F and space X are provided. An illustrative example is given.

Keywords: F -contraction; ?F -contraction, generalized ?F -contraction; fixed point (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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