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Basic inequality on a b-metric space and its applications

We first prove one of the most basic inequalities on a b-metric space. And then we prove some fixed point theorems. We also consider two similar conditions; one implies the Cauchyness on sequences but the other does not.

Detalles Bibliográficos
Autor principal: Suzuki, Tomonari
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5636917/
https://www.ncbi.nlm.nih.gov/pubmed/29081632
http://dx.doi.org/10.1186/s13660-017-1528-3
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author Suzuki, Tomonari
author_facet Suzuki, Tomonari
author_sort Suzuki, Tomonari
collection PubMed
description We first prove one of the most basic inequalities on a b-metric space. And then we prove some fixed point theorems. We also consider two similar conditions; one implies the Cauchyness on sequences but the other does not.
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spelling pubmed-56369172017-10-25 Basic inequality on a b-metric space and its applications Suzuki, Tomonari J Inequal Appl Research We first prove one of the most basic inequalities on a b-metric space. And then we prove some fixed point theorems. We also consider two similar conditions; one implies the Cauchyness on sequences but the other does not. Springer International Publishing 2017-10-11 2017 /pmc/articles/PMC5636917/ /pubmed/29081632 http://dx.doi.org/10.1186/s13660-017-1528-3 Text en © The Author(s) 2017 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Suzuki, Tomonari
Basic inequality on a b-metric space and its applications
title Basic inequality on a b-metric space and its applications
title_full Basic inequality on a b-metric space and its applications
title_fullStr Basic inequality on a b-metric space and its applications
title_full_unstemmed Basic inequality on a b-metric space and its applications
title_short Basic inequality on a b-metric space and its applications
title_sort basic inequality on a b-metric space and its applications
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5636917/
https://www.ncbi.nlm.nih.gov/pubmed/29081632
http://dx.doi.org/10.1186/s13660-017-1528-3
work_keys_str_mv AT suzukitomonari basicinequalityonabmetricspaceanditsapplications