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Open AccessArticle

Generalized F-Contractions on Product of Metric Spaces

1
Department of Mathematics and Computer Science, Faculty of Sciences, Lucian Blaga University of Sibiu, 550012 Sibiu, Romania
2
School of Science and Technology, University of Sanya, Hainan 572000, China
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Author to whom correspondence should be addressed.
Mathematics 2019, 7(11), 1040; https://doi.org/10.3390/math7111040
Received: 16 October 2019 / Revised: 30 October 2019 / Accepted: 30 October 2019 / Published: 3 November 2019
(This article belongs to the Section Mathematics and Computers Science)
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. View Full-Text
Keywords: F-contraction; ψF-contraction, generalized ψF-contraction; fixed point F-contraction; ψF-contraction, generalized ψF-contraction; fixed point
MDPI and ACS Style

Secelean, N.A.; Zhou, M. Generalized F-Contractions on Product of Metric Spaces. Mathematics 2019, 7, 1040.

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