Ciric type cyclic contractions and their best cyclic periodic points
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Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
North Univ Baia Mare
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In the present paper, by introducing a new notion named as nonunique cyclic contractions, we give some best proximity point results for such mappings. Then, we indicate the shortcoming of the concept of best periodic proximity point which is defined for cyclic mapping by giving a simple example. To overcome this deficiency, we give a more suitable definition named as best cyclic periodic point. Finally, we obtain some best cyclic periodic point theorems, including the famous periodic point result of Ciric [8], for nonunique cyclic contractions. We also provide some illustrative and comparative examples to support our results.
Açıklama
Anahtar Kelimeler
best proximity point; best cyclic periodic point; nonunique contraction
Kaynak
Carpathian Journal of Mathematics
WoS Q Değeri
Q1
Scopus Q Değeri
Cilt
38
Sayı
2
