A New Type of F-Contraction and Their Best Proximity Point Results with Homotopy Application
Küçük Resim Yok
Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
SPRINGER
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present paper, we aim to extend and unify the results obtained for the multivalued F-contractions, which have been frequently studied recently, in a different way from the results in the literature without using the Pompeiu-Hausdorff metric. Hence, we first introduce a new class of multivalued mappings that includes multivalued F-contractions. Then, we obtain some best proximity point results for new kind of F-contraction mappings. Thus, we unify and improve many results in the literature. To see this fact, we give some nontrivial and interesting examples. Also, considering the strong relationship between homotopy theory and various branches of mathematics, we obtain an application to homotopy theory of our main result.
Açıklama
Anahtar Kelimeler
Best proximity point, Fixed point, F-contraction, Multivalued mappings, Homotopy
Kaynak
ACTA APPLICANDAE MATHEMATICAE
WoS Q Değeri
N/A
Scopus Q Değeri
Q2
Cilt
179
Sayı
1
