{
    "article_id": 1057,
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    "source_identifier": "42:62",
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    "type": "research_article",
    "title": "Ortogonal Koni Metrik Uzaylarda Bazı Ortak Sabit Nokta Teoremleri",
    "title_secondary": null,
    "abstract": "2017 yılında Gordji, Ramazani, De La Sen ve Cho [1] ortogonal küme ve ortogonal metrik uzay kavramlarını vermişlerdir. Ardından genelleştirilmiş metrik uzaylarda sabit nokta çalışmaları yapılmıştır ([2]). 2018 yılında Bilgili Gungor [3], koni metrik uzaylarda ortogonallik bağıntısını kullanarak büzülme dönüşümleri için sabit noktaların varlığını ispatlamıştır. Bu çalışmada ise Bilgili Gungor [3], Abbas ve Jungck [4] çalışmalarından esinlenerek, ortogonal koni metrik uzaylarda tanımlı öz dönüşümler için uygun büzülme şartları kullanılarak, ortak sabit noktaların varlığı ve tekliği incelenmiştir.",
    "language": "tr",
    "english_title": "Some Common Fixed Point Theorems in Orthogonal Cone Metric Spaces",
    "english_abstract": "In 2017, Gordji, Ramazani, De La Sen, and Cho [1] introduced the concepts of orthogonal sets and orthogonal metric spaces. Subsequently, studies on fixed points in generalized metric spaces were conducted ([2]). In 2018, Bilgili Gungor [3] proved the existence of fixed points for contraction transformations using the orthogonality relation in cone metric spaces. In this study, inspired by the work of Bilgili Gungor [3], Abbas, and Jungck [4], the existence and uniqueness of common fixed points were investigated using appropriate contraction conditions for eigentransformations defined in orthogonal cone metric spaces.",
    "doi": null,
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    "resource_url": "https://www.set-science.com/a/90c5d567-801f-498e-a0a9-f1704468e4fe",
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    "authors": [
        {
            "public_id": "8099c8d9-2d8b-47d4-929b-27db4c0a39ab",
            "given": "Mehmet ",
            "family": "SÜRMELİOĞLU  ",
            "full": "Mehmet  SÜRMELİOĞLU  ",
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            "email": "m.sürmeli_05@hotmail.com",
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            "sequence": "first",
            "affiliations": [
                {
                    "name": "Amasya Üniversitesi  ",
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                }
            ]
        },
        {
            "public_id": "f291ee30-e84f-4da5-81b2-09203f6dff9c",
            "given": "Nurcan ",
            "family": "BİLGİLİ GÜNGÖR  ",
            "full": "Nurcan  BİLGİLİ GÜNGÖR  ",
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            "email": "bilgilinurcan@gmail.com",
            "corresponding": true,
            "sequence": "additional",
            "affiliations": [
                {
                    "name": "Amasya Üniversitesi  ",
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            ]
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    ],
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    "translations": [
        {
            "language": "en",
            "title": "Some Common Fixed Point Theorems in Orthogonal Cone Metric Spaces",
            "abstract": "In 2017, Gordji, Ramazani, De La Sen, and Cho [1] introduced the concepts of orthogonal sets and orthogonal metric spaces. Subsequently, studies on fixed points in generalized metric spaces were conducted ([2]). In 2018, Bilgili Gungor [3] proved the existence of fixed points for contraction transformations using the orthogonality relation in cone metric spaces. In this study, inspired by the work of Bilgili Gungor [3], Abbas, and Jungck [4], the existence and uniqueness of common fixed points were investigated using appropriate contraction conditions for eigentransformations defined in orthogonal cone metric spaces.",
            "keywords": [
                "Ortogonal küme, metrik uzay, koni metrik uzay, büzülme dönüşümleri, sabit nokta, ortak sabit nokta"
            ]
        }
    ],
    "subjects": [],
    "subject_names": [],
    "published_date": "2019-06-01",
    "published_year": "2019",
    "received_date": null,
    "accepted_date": null,
    "volume": "4",
    "issue": null,
    "page_first": "326",
    "page_last": "332",
    "article_number": null,
    "conference": {
        "short_name": "ISAS2019-ENS",
        "full_title": "3rd International Symposium on Innovative Approaches in Scientific Studies (Engineering and Natural Sciences)",
        "name": "3rd International Symposium on Innovative Approaches in Scientific Studies (Engineering and Natural Sciences)",
        "acronym": "ISAS2019-ENS",
        "location": "Ankara, Türkiye",
        "start_date": "2019-04-19",
        "end_date": null,
        "public_id": "ed3b36e9-38cf-4aeb-a135-833c969cc89f"
    },
    "proceedings": {
        "title": "3rd International Symposium on Innovative Approaches in Scientific Studies (Engineering and Natural Sciences)",
        "series_title": "Setsci conference indexing system",
        "publisher": "SET Technology",
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        "issn": "2618-6446",
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        "slug": "setsci-volume-4-2019-legacy-42",
        "public_id": "24d215ef-a545-4351-9725-6e9bdb167b3c",
        "url": "https://www.set-science.com/p/setsci-volume-4-2019-legacy-42"
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        "name": "CC BY 4.0",
        "url": "https://creativecommons.org/licenses/by/4.0/",
        "code": "CC-BY-4.0",
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    "copyright": {
        "holder": "SET Technology",
        "year": "2019"
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    "references": [
        {
            "order": 1,
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