Coupled fixed point results on metric spaces defined by binary operations

Basit Öğe Kaydı
dc.contributor.authorKarami, A.
dc.contributor.authorShakeri, R.
dc.contributor.authorSedghi, S.
dc.contributor.authorAltun, I
dc.date.accessioned2020-06-25T18:29:49Z
dc.date.available2020-06-25T18:29:49Z
dc.date.issued2018
dc.departmentKırıkkale Üniversitesi
dc.descriptionAltun, Ishak/0000-0002-7967-0554
dc.description.abstractIn parallel with the various generalizations of the Banach fixed point theorem in metric spaces, this theory is also transported to some different types of spaces including ultra metric spaces, fuzzy metric spaces, uniform spaces, partial metric spaces, b-metric spaces etc. In this context, first we define a binary normed operation on nonnegative real numbers and give some examples. Then we recall the concept of T-metric space and some important and fundamental properties of it. A T-metric space is a 3-tuple (X, T, lozenge), where X is a nonempty set, lozenge is a binary normed operation and T is a T-metric on X. Since the triangular inequality of T-metric depends on a binary operation, which includes the sum as a special case, a T-metric space is a real generalization of ordinary metric space. As main results, we present three coupled fixed point theorems for bivariate mappings satisfying some certain contractive inequalities on a complete T-metric space. It is easily seen that not only existence but also uniqueness of coupled fixed point guaranteed in these theorems. Also, we provide some suitable examples that illustrate our results.en_US
dc.identifier.citationKarami, A., Shakeri, R., Sedghi, S., & Altun, І. (2018). Coupled fixed point results on metric spaces defined by binary operations. Carpathian Mathematical Publications, 10(2), 313-323.en_US
dc.identifier.doi10.15330/cmp.10.2.313-323
dc.identifier.endpage323en_US
dc.identifier.issn2075-9827
dc.identifier.issn2313-0210
dc.identifier.issue2en_US
dc.identifier.startpage313en_US
dc.identifier.urihttps://doi.org/10.15330/cmp.10.2.313-323
dc.identifier.urihttps://hdl.handle.net/20.500.12587/7472
dc.identifier.volume10en_US
dc.identifier.wosWOS:000454667100008
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherVasyl Stefanyk Precarpathian Natl Univen_US
dc.relation.ispartofCarpathian Mathematical Publications
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectbinary normed operationen_US
dc.subjectT-metric spaceen_US
dc.subjectcoupled fixed pointen_US
dc.titleCoupled fixed point results on metric spaces defined by binary operationsen_US
dc.typeArticle

Dosyalar

Orijinal paket
Listeleniyor 1 - 1 / 1
Küçük Resim
Ä°sim:
Coupled fixed point results on metric spaces defined by binary operations.pdf
Boyut:
137.24 KB
Biçim:
Adobe Portable Document Format
Açıklama:
Tam Metin/Full Text
Ä°ndir

Koleksiyon

WOS İndeksli Yayınlar Koleksiyonu
Makale Koleksiyonu