Bazı Genelleştirilmiş Sabit Çember Sonuçları Üzerine

Year 2024, Volume: 12 Issue: 1, 510 - 521, 26.01.2024

Nihal Taş , Özlem Moralı Kızanlık

https://doi.org/10.29130/dubited.1258967

Abstract

Bu çalışmada, son zamanlarda üzerinde çalışılan bir açık problem olan “sabit çember problemi” için yeni sonuçlar araştırmaya çalışacağız. Bunun içinde literatürde var olan bazı bilinen daralma koşullarından esinleneceğiz. Bu anlamda, metrik uzaylar üzerinde JS-Ciric tipinde x0-daralma, JS-Hardy Rojers tipinde x0-daralma, JS-Reich tipinde x0-daralma ve JS-Chetterjea tipinde x0-daralma kavramlarını tanımlayacağız. Bu yeni daralma koşulları ile bazı sabit çember teoremleri ve sabit disk sonuçları elde edeceğiz. Son bölümde de, elde edilen teorik sonuçları gerçekleyen bazı örnekler vereceğiz.

Keywords

Metrik uzay, Sabit çember, Sabit disk

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