A Fixed Point Theorem for Multivalued Mappings with δ-Distance
Yükleniyor...
Tarih
2014
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Hindawi Publishing Corporation
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
We mainly study fixed point theorem for multivalued mappings with delta-distance using Wardowski's technique on complete metric space. Let (X, d) be a metric space and let B(X) be a family of all nonempty bounded subsets of X. Define delta : B(X) x B(X) -> R by delta(A, B) = sup {d(a, b): a is an element of A, b is an element of B}. Considering delta-distance, it is proved that if (X, d) is a complete metric space and T : X -> B(X) is a multivalued certain contraction, then T has a fixed point.
Açıklama
Altun, Ishak/0000-0002-7967-0554
Anahtar Kelimeler
Kaynak
Abstract And Applied Analysis
WoS Q Değeri
N/A
Scopus Q Değeri
Q2
Cilt
Sayı
Künye
Acar, Ö., Altun, I. (2014). A Fixed Point Theorem for Multivalued Mappings with δ-Distance, Abstract and Applied Analysis, 497092, 5 pages, 2014. https://doi.org/10.1155/2014/497092
