Almost picard operators

Küçük Resim Yok

Tarih

2019

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Maltepe Üniversitesi

Erişim Hakkı

CC0 1.0 Universal
info:eu-repo/semantics/openAccess

Araştırma projeleri

Organizasyon Birimleri

Dergi sayısı

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 some weaker forms of PO in the litareture 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

Anahtar Kelimeler

Picard operator, Fixed point, Contractive mapping

Kaynak

International Conference of Mathematical Sciences (ICMS 2019)

WoS Q Değeri

Scopus Q Değeri

Cilt

Sayı

Künye

Altun, İ, ve Aslan Hacer, H. (2019). Almost picard operators. International Conference of Mathematical Sciences (ICMS 2019). s. 94.