Some fixed point results for a new three steps iteration process in banach spaces
Yükleniyor...
Dosyalar
Tarih
2017
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
House Book Science-Casa Cartii Stiinta
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we introduce a three step iteration method and show that this method can be used to approximate fixed point of weak contraction mappings. Furthermore, we prove that this iteration method is equivalent to Mann iterative scheme and converges faster than Picard-S iterative scheme for the class of weak contraction mappings. We also present tables and three graphics to support this result. Finally, we prove a data dependence result for weak contraction mappings using this three step iterative scheme.
Açıklama
Anahtar Kelimeler
A new iterative scheme, Strong convergence, Weak contraction mapping
Kaynak
Fixed Point Theory
WoS Q Değeri
N/A
Scopus Q Değeri
Q2
Cilt
18
Sayı
2
Künye
Karakaya, V., Atalan, Y., Dogan, K., & Bouzara, N. E. H. (2017). Some fixed point results for a new three steps iteration process in Banach spaces. Fixed Point Theory, 18(2), 625-640.
