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A new approach in the context of ordered incomplete partial b-metric spaces

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journal contribution
submitted on 2023-03-15, 11:50 and posted on 2023-07-12, 09:33 authored by Tawseef Rashid, Mohammed M. M. Jaradat, Qamrul Haq Khan, Zoran D. Mitrović, Hassen Aydi, Zead Mustafa

The main purpose of this paper is to find some fixed point results with a new approach, particularly in those cases where the existing literature remains silent. More precisely, we introduce partial completeness, -orbitally completeness, a new type of contractions and many other notions. We also ensure the existence of fixed points for non-contraction maps in the class of incomplete partial b-metric spaces. We have reported some examples in support of our results.

Other information

Published in: Open Mathematics
License: http://creativecommons.org/licenses/by/4.0
See article on publisher's website: http://dx.doi.org/10.1515/math-2020-0054

History

Language

  • English

Publisher

de Gruyter

Publication Year

  • 2020

Institution affiliated with

  • Qatar University

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