{
    "article_id": 692,
    "public_id": "610f9da5-bdfb-458d-8d7e-271c3ec89e5f",
    "internal_identifier": null,
    "source_identifier": "39:57",
    "status": "published",
    "type": "abstract_only",
    "title": "RESTRUCTURING OF β-ADMISSIBLE MAPPINGS IN G-METRIC SPACES AND FIXED POINT THEOREMS",
    "title_secondary": null,
    "abstract": "In 2012 Karapınar and Samet introduced the notion of α- contractive mappings and proved some well-known fixed point theorems. On the other hand in 2006 Mustafa and Sims gave the definition of G-metric space which is the generalization of metric space. In 2013 Algamdi and Karapınar combined these two notions as G-β - contractive mappings. They presented and proved related fixed point theorems. In this paper β-admissible mappings in G-metric spaces are restricted and some fixed point theorems are given. Our main results will give a new perspective to previous works in G-metrics. Indeed, as a result of a special selection of the given mappings, we obtained the main results of Algamdi and Karapınar as a conclusion  ",
    "language": "en",
    "english_title": null,
    "english_abstract": null,
    "doi": null,
    "doi_url": null,
    "resource_url": "https://www.set-science.com/a/610f9da5-bdfb-458d-8d7e-271c3ec89e5f",
    "pdf_url": null,
    "og_image": "https://www.set-science.com/assets/img/og-card-v2.png",
    "authors": [
        {
            "public_id": "a1ec0286-d62e-4688-b55e-b74246b00270",
            "given": "Nurcan",
            "family": "Bilgili Güngör",
            "full": "Nurcan Bilgili Güngör",
            "literal": null,
            "orcid": null,
            "orcid_url": null,
            "email": "bilgilinurcan@gmail.com",
            "corresponding": true,
            "sequence": "first",
            "affiliations": [
                {
                    "name": "Amasya University",
                    "department": null,
                    "country": null,
                    "country_code": null,
                    "ror": null,
                    "ror_url": null
                }
            ]
        }
    ],
    "keywords": [],
    "translations": [],
    "subjects": [],
    "subject_names": [],
    "published_date": "2018-12-31",
    "published_year": "2018",
    "received_date": null,
    "accepted_date": null,
    "volume": "3",
    "issue": null,
    "page_first": "305",
    "page_last": "309",
    "article_number": null,
    "conference": {
        "short_name": "ISAS2018-Winter",
        "full_title": "2nd International Symposium on Innovative Approaches in Scientific Studies",
        "name": "2nd International Symposium on Innovative Approaches in Scientific Studies",
        "acronym": "ISAS2018-Winter",
        "location": "Samsun, Türkiye",
        "start_date": "2018-11-30",
        "end_date": null,
        "public_id": "b8a703cc-09f7-4d5b-ae60-eb31a1050720"
    },
    "proceedings": {
        "title": "2nd International Symposium on Innovative Approaches in Scientific Studies",
        "series_title": "Setsci conference indexing system",
        "publisher": "SET Technology",
        "isbn": null,
        "eisbn": null,
        "issn": "2618-6446",
        "eissn": null,
        "doi": null,
        "doi_prefix": null,
        "slug": "setsci-volume-3-2018-legacy-39",
        "public_id": "641f522e-9cf0-4c89-be17-c6037f3d1bca",
        "url": "https://www.set-science.com/p/setsci-volume-3-2018-legacy-39"
    },
    "license": {
        "name": "CC BY 4.0",
        "url": "https://creativecommons.org/licenses/by/4.0/",
        "code": "CC-BY-4.0",
        "open_access": true
    },
    "copyright": {
        "holder": "SET Technology",
        "year": "2018"
    },
    "funding_statement": null,
    "funders": [],
    "references": [
        {
            "order": 1,
            "raw": "Alghamdi, M. and Karapınar, E., G-β- Contractive-Type Mappings in G-Metric Spaces, Fixed Point\r\nTheory and Applications 2013, 2013:123.",
            "doi": null,
            "title": null,
            "authors": null,
            "source": null,
            "year": null,
            "volume": null,
            "pages": null
        },
        {
            "order": 2,
            "raw": "Alghamdi, M. and Karapınar, E., G-β- Contractive-Type Mappings and Related Fixed Point Theorems,\r\nJournal of Inequalities and Applications 2013, 2013:151.",
            "doi": null,
            "title": null,
            "authors": null,
            "source": null,
            "year": null,
            "volume": null,
            "pages": null
        },
        {
            "order": 3,
            "raw": "Karapınar, E. and Samet, B., Generalized α − Contractive Type Mappings and Related Fixed Point\r\nTheorems with Applications, Abstract and Applied Analysis 2012, Vol.2012, Hindawi.",
            "doi": null,
            "title": null,
            "authors": null,
            "source": null,
            "year": null,
            "volume": null,
            "pages": null
        },
        {
            "order": 4,
            "raw": "Mustafa, Z. and Sims, B., A new approach to generalized metric spaces, Journal of Nonlinear and Convex\r\nAnalysis 2006, 7(2),289-297.",
            "doi": null,
            "title": null,
            "authors": null,
            "source": null,
            "year": null,
            "volume": null,
            "pages": null
        },
        {
            "order": 5,
            "raw": "Salimi, P., Latif, A. and Hussain, N., Modified --contractive mappings with applications. Fixed Point\r\nTheory and Applications, 2013, 2013(1), 151.",
            "doi": null,
            "title": null,
            "authors": null,
            "source": null,
            "year": null,
            "volume": null,
            "pages": null
        }
    ],
    "statements": {
        "acknowledgements": null,
        "conflict_of_interest": null,
        "data_availability": null,
        "ai_disclosure": null
    },
    "credit": [],
    "history": {
        "published": "2018-12-31"
    }
}