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      Basic inequality on a b-metric space and its applications

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          Abstract

          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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          Multi-valued contraction mappings

          Sam Nadler (1969)
          Article 0 comments Cited 169 times – based on 0 reviews     Review now
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            Fixed point theorems for multivalued mappings on complete metric spaces

            Wataru Takahashi, Noriko Mizoguchi (1989)
            Article 0 comments Cited 53 times – based on 0 reviews     Review now
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              Nonlinear set-valued contraction mappings in b-metric spaces

              S Czerwik, S. Czerwik, Czerwik (1998)
              Article 0 comments Cited 31 times – based on 0 reviews     Review now
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                Author and article information

                Contributors
                Tomonari Suzuki:
                ORCID: http://orcid.org/0000-0002-2524-6045
                suzuki-t@mns.kyutech.ac.jp
                Journal
                Journal ID (nlm-ta): J Inequal Appl
                Journal ID (iso-abbrev): J Inequal Appl
                Title: Journal of Inequalities and Applications
                Publisher: Springer International Publishing (Cham )
                ISSN (Print): 1025-5834
                ISSN (Electronic): 1029-242X
                Publication date (Electronic): 11 October 2017
                Publication date PMC-release: 11 October 2017
                Publication date (Print): 2017
                Volume: 2017
                Issue: 1
                Electronic Location Identifier: 256
                Affiliations
                ISNI 0000 0001 2110 1386, GRID grid.258806.1, Department of Basic Sciences, Faculty of Engineering, , Kyushu Institute of Technology, ; Tobata, Kitakyushu, 804-8550 Japan
                Author information
                http://orcid.org/0000-0002-2524-6045
                Article
                Publisher ID: 1528
                DOI: 10.1186/s13660-017-1528-3
                PMC ID: 5636917
                SO-VID: b46e52f8-2fd2-4094-a104-8dc1d151fc55
                Copyright © © The Author(s) 2017
                License:

                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.

                History
                Date received : 21 June 2017
                Date accepted : 26 September 2017
                Funding
                Funded by: FundRef http://dx.doi.org/10.13039/501100001691, Japan Society for the Promotion of Science;
                Award ID: 16K05207
                Award Recipient :
                Categories
                Subject: Research
                Custom metadata
                issue-copyright-statement © The Author(s) 2017

                Keywords: 54e99,54h25,b-metric space,cauchy sequence,fixed point theorem
                Data availability:
                Keywords: 54e99, 54h25, b-metric space, cauchy sequence, fixed point theorem

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