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Research Article | Open Access

Convex contractions on extended b-metric spaces

Faculty of Applied Sciences, National University of Sciences and Technology Politehnica Bucharest, Splaiul Independenţei 311, Bucharest 060042, Romania
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Abstract

This research investigated different types of convex contractions in the setting of extended b-metric spaces from the point of view of the existence and uniqueness of their fixed points. The assumptions imposed on involved mappings refer to convexity of order 2, two-sided convexity or Ćirić-type convexity, which also fulfill a continuity type condition. An example was provided to emphasize the usability of the results.

Keywords

extended b-metric spacegeneralized metric spaceconvex contractiongeneralized contraction
CLC number: 47H09, 47H10, 54H25

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AIMS Mathematics
Volume 9 Issue 7,
July 2024
Pages 18163-18185
DOI: 10.3934/math.2024887

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Cite this article:
Ricinschi D. Convex contractions on extended b-metric spaces. AIMS Mathematics, 2024, 9(7): 18163-18185. https://doi.org/10.3934/math.2024887

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Received: 08 February 2024
Revised: 02 April 2024
Accepted: 09 April 2024
Published: 15 July 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)