Almost Picard Operators
Yükleniyor...
Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Amer Inst Physics
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The concept of Picard operator is one of the most important concept of fixed point theory. As known, a self mapping T of a metric space X is called Picard operator (PO) if it has unique fixed point and every Picard iteration sequence converges to this fixed point. There are some weaker forms of PO in the literature as weakly Picard operator (WPO) and pseudo Picard operator (PPO). In this study, we present a new kind of PO as almost Picard operator (APO) and we show the differences from the others. Then we show that every continuous P-contractive self mapping of a compact metric space is APO. Also we present some open problems.
Açıklama
3rd International Conference of Mathematical Sciences (ICMS) -- SEP 04-08, 2019 -- Maltepe Univ, Istanbul, TURKEY
Anahtar Kelimeler
Fixed point, Picard operator, complete metric space
Kaynak
Third International Conference Of Mathematical Sciences (Icms 2019)
WoS Q Değeri
N/A
Scopus Q Değeri
Q4
Cilt
2183
Sayı
Künye
Altun, İ, ve Aslan Hacer, H. (2019). Almost picard operators. International Conference of Mathematical Sciences (ICMS 2019). s. 94.
