Some Fixed-Point Theorems in Proximity Spaces with Applications
[ X ]
Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Mdpi
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Considering the omega-distance function defined by Kostic in proximity space, we prove the Matkowski and Boyd-Wong fixed-point theorems in proximity space using omega-distance, and provide some examples to explain the novelty of our work. Moreover, we characterize Edelstein-type fixed-point theorem in compact proximity space. Finally, we investigate an existence and uniqueness result for solution of a kind of second-order boundary value problem via obtained Matkowski-type fixed-point results under some suitable conditions.
Açıklama
Anahtar Kelimeler
fixed point; proximity spaces; phi-contraction; omega-distance
Kaynak
Mathematics
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
10
Sayı
10
