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Open AccessArticle

Some New Observations and Results for Convex Contractions of Istratescu’s Type

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Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City 758307, Vietnam
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Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City 758307, Vietnam
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Institut Supérieur d’Informatique et des Techniques de Communication, Université de Sousse, Hammam Sousse 4000, Tunisia
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China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
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Department of Mathematics and General Sciences, Prince Sultan University, P.O. Box 66833, Riyadh 11586, Saudi Arabia
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School of Computing, Union University, 11000 Belgrade, Serbia
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Faculty for Trafic and Transport Engineering, University of Belgrade, 11000 Belgrade, Serbia
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Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Belgrade, Serbia
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Institute of Research and Development of Processes IIDP, University of the Basque Country, Campus of Leioa, P.O. Box 48940, Leioa, Bizkaia, Spain
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Authors to whom correspondence should be addressed.
Symmetry 2019, 11(12), 1457; https://doi.org/10.3390/sym11121457
Received: 30 October 2019 / Revised: 22 November 2019 / Accepted: 23 November 2019 / Published: 27 November 2019
(This article belongs to the Special Issue Symmetry in Nonlinear Studies)
The purpose is to ensure that a continuous convex contraction mapping of order two in b-metric spaces has a unique fixed point. Moreover, this result is generalized for convex contractions of order n in b-metric spaces and also in almost and quasi b-metric spaces. View Full-Text
Keywords: convex contraction; fixed point; b-metric space; almost b-metric space; coincidence point convex contraction; fixed point; b-metric space; almost b-metric space; coincidence point
MDPI and ACS Style

Mitrović, Z.D.; Aydi, H.; Mlaiki, N.; Gardašević-Filipović, M.; Kukić, K.; Radenović, S.; de la Sen, M. Some New Observations and Results for Convex Contractions of Istratescu’s Type. Symmetry 2019, 11, 1457.

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